My dad's Ford 4000 has a tubeless tire on the front, and I had to re-seat the bead in the field twice last fall while mowing the hay field. All I used was an air compressor, a farm jack, and a rubber mallet; dishwashing soap would have been helpful, as it can be used as a lubricant on the bead/rim (it's close enough to what the pros use when mounting tires), but I didn't feel like walking all the way back to the house.
I jacked the tractor up enough to get the tire off the ground, then started adding air in bursts, turning the wheel between bursts, and whacking the tire with the mallet, striking the tread, down towards the hub (both during and between bursts); it took a little while, but it finally seated, and I was able to air it up and get back to mowing. FWIW, I was using a pancake compressor that doesn't produce enough CFM to keep a pneumatic drill working, so it doesn't take all that much air to get it done--and this wheel is wonderfully corroded on the inside of the rim, to boot.
Of course, if you're talking about a rear tire, I doubt that a pancake compressor would move nearly enough air to get the job done. Fortunately, I've not had to deal with a tubeless rear tire...