Wade's maiden ton helps Australia take control
Wade's aggressive 106 off 146 balls guided Australia to 328 all out and the West Indies limped to close on 165-8, still behind by 163 runs. Off-spinner Nathan Lyon led the visitors with 3-49.
Kieran Powell top-scored with 40 for the hosts, while veteran Shivnarine Chanderpaul (34 not out) and Ravi Rampaul (24 not out) offered late resistance.
Earlier, Wade dominated the morning session as Australia, resuming on 212-7, got a sterling contribution from its lower-order. The 24-year-old Wade, in only his third Test, smacked 10 fours and three sixes in 3 hours, 12 minutes.
Off-spinner Shane Shillingford finished with a career-best haul of 6-119.
Wade, overnight 22, had not added when pacer Kemar Roach spilled a difficult, head high return catch as the batsman pulled powerfully. Wade and fellow left-hander Mitchell Starc, who came together at 169-7 on day one, stretched their eighth wicket stand to 57 before a lazy run out broke the association.
Starc, who contributed 35 off 55 balls with a four and a six, was trotting in at the wicketkeeper's end but was caught short by Brathwaite's long throw from long-off at 226-8.
But West Indies' joy was short-lived as Wade took control in a record ninth-wicket stand of 102 with Ben Hilfenhaus, who scored 19.
Wade's landmark came with a flowing extra-cover drive off Roach for another boundary and brought a leap of delight as well as a kiss of the Australian badge on his helmet.
Despite all the rain interruptions, India defeated their arch rivals Pakistan for the first time in the ICC Champions Trophy.
Date 17-06-13, Duration 1:23, Views 231