queensland 297 and 58 for 3 need 271 more runs to win Victory 186 and 439 (Kellaway 120, Rogers 69, Harris 62, Short 59, Guthrie 4-96)
Tom Rogers, Matt Short and Peter Handscomb also chipped in with handy knocks to help lift Victoria to a commanding 439.
In response, Queensland lost Matt Renshaw for a duck to 40-year-old veteran Peter Siddle in the first over of their run chase and were 32 for 2 when Bryce Street fell for 7.
Angus Lovell put up some resistance but was sent packing after a stunning one-handed catch by Short as he ran the flight of the ball from slip to drag in a top edge pull.
Victoria started the third day with 122 for no loss in her second innings. Harris was caught slipping while bowling Lovell, but Kellaway kept up the work to post his first Shield century.
Kellaway’s 175-ball knock, which included 14 boundaries, finally came to an end when Street bowled him in the final over before the dinner break.
Queensland used eight bowlers in their attempt to make progress on Victoria’s strong batting line-up, but gains were few and far between.