I've seen backhoe tires jump pretty high from that.
Remove the core like surfrider said and push in on the outside of the tire where the bead is not seated.
I'm sure it's not that bad but if that doesn't work, either use a ratchet strap around the out side of the tire to push the bead out or put the tire on a bucket core up and use a little grease in the bead to seal it. It's messy but it works.
Hope some of that makes sense to you.