Resuming the day on 348 for two, the hosts found it tough to get runs against a disciplined Indian attack but overnight batsmen Smith (117) and Shane Watson (81) stitched together a 196-run third-wicket partnership to keep the fight on.
The Virat Kohli-led India though did seem to learn its lessons from day one as the visitors only conceded 72 runs in the 30 overs bowled in the morning session and also got two 'set' batsmen back in the pavilion.
Watson was guilty of throwing away a Test hundred after he forced a pull of a short ball only to pick the fielder at deep mid-wicket.
Smith departed six overs later as the in-form batsman was also guilty of chasing a wide Umesh Yadav (1-119) delivery only get a feather touch and it was a regulation catch for wicketkeeper Wriddhiman Saha.
But Smith sure showed his class in his 208-ball stay at the crease as the batsman mixed the right dose of caution and aggression, his innings laced with 15 fours.
Joe Burns, who joined Marsh after Smith's fall, has had a torrid time in the middle and is yet to open his account after facing 17 deliveries.
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