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Henshaw, a medallist at the 2011 world championships, bombed out on the first run of the finals but bounced back strongly with a slick second effort.
The ski cross team also failed to shine in Vale Thorens, France with Jenny Owens the best placed Australian man or woman in 18th.
Australian skier Henshaw third in Colorado
Meanwhile there were some disappointments for the Australian contingent in a skeleton World Cup in Lake Placid, New York with Lucy Chaffer 16th and Michelle Steel disqualified after the first run.
Slopestyle Cheap Women Canada Goose Victoria Parka Berry Ireland skier Russ Henshaw has continued a solid weekend of results for a number of Australia's top Winter Olympic medal hopes, taking out third in the Dew Tour event in Breckenridge, Colorado.
Henshaw's podium finish came after snowboarder Torah Bright won the halfpipe event in Breckenridge and Dale Begg Smith enjoyed a successful comeback to moguls in Finland.