Dravid struck 119 for his 36th Test century, adding 140 runs for the fourth wicket with V.V.S. Laxman, who was 73 not out at close. Night-watchman Ishant Sharma's first-ball dismissal was followed by a call by umpires to end the day's play due to bad light with 2.3 overs to go.
Dravid was out a delivery earlier when he inside-edged a delivery from part-time spinner Kraigg Brathwaite on to the stumps, after hitting nine fours and two sixes in a 207-ball knock.
Dravid made up for the failure of other batsmen to convert big scores and brightened India's chances of a deciding win in the three-game series after winning the opener in New Delhi by five wickets.
The 38-year-old Dravid, who stands fourth in the list of Test centurions behind Sachin Tendulkar (51), Jacques Kallis (40) and Ricky Ponting (39), got to the century with a clipped four to long-leg off a no-ball from pace bowler Kemar Roach.
Starting fluently to reach 33 off 51 balls with six fours by lunch, Dravid slowed down in a bid to consolidate the team's position during the second session, in which he hit a solitary four and scored only 29 runs from 77 balls.
He broke the shackles when he lofted leg-spinner Devendra Bishoo for a six over long-off a little after tea. His other six came to long on off Marlon Samuels soon after.
Laxman gave him fine support and had hit five fours off 116 balls so far in his 56th Test half-century.
Dravid was also associated in partnerships of 83 for the second wicket with Gautam Gambhir (65) and of 56 for the third with Tendulkar (38), who remains stuck on 99 international centuries.
Tendulkar pulled a short delivery from Bishoo straight to Samuels at mid-wicket after surviving a close lbw appeal against the same bowler when on 25.
Tendulkar came in to bat in the second session, after the opening pair of Virender Sehwag and Gambhir dominated proceedings to raise expectations of a big total.
Left-hander Gambhir completed his 17th half-century in 43 games, striking eight fours off 103 balls after ensuring a brisk start in the company of the big-hitting Sehwag.
Sehwag clobbered West Indies captain Darren Sammy for six of his eight fours during a 33-ball 38 but fell to the same bowler when he was caught by Adrian Barath at short mid-wicket.
Sehwag, who scored 55 in both innings of the previous Test, smashed two fours off pace bowler Sammy's first over and then three consecutive ones later in his innings: over mid-on, through the covers and through mid-wicket.
With Sehwag dominating the bowling, India raced to the 50-run mark in only 10.2 overs, the opening stand of 66 ending with the first delivery after the first drinks break.
Gambhir was out a little later to a harmless delivery from Fidel Edwards, jabbing it to Barath at short cover, giving the fielder his second easy catch of the day.
The final Test will be held in Mumbai from Nov. 22-26.
