I have very recent experience with this. Our busy-pants lab cross got it in the face exactly a week ago. We did nothing that evening as it was late at night and we had no supplies on hand, but kept him restricted to one room. We applied nothing, no water, didn’t wipe him down. The next day we made the solution recommended by respected sources on the ‘net consisting of a quart of peroxide, 1/4 cup baking soda and a teaspoon dish soap. This concoction cannot be made ahead, as it releases oxygen which is the cleaning agent, and will also explode a container. We put this on the afflicted parts, let it sit for five minutes then hosed him down. It worked somewhat, but we realized that the recipe is nowhere near enough for a big dog, so I doubled the recipe the next day and reapplied. The peroxide has a slight bleaching effect so now we have a dark brown dog instead of a black one. I would recommend doing this procedure twice, anyway. The smell is much, much improved and you really have to get inches away from him to smell it. It might help to have the dog in the sunshine for a bit as well.
He of course got some stench on various household items like the blinds and some bedding, but before I could get to dealing with the smell on the blinds, it had completely dissipated, and as for the bedding, I aired it in the hot sunshine, then washed it as usual, with some baking soda thrown in as well, and that fixed that.
From my reading, it is best not to apply anything except this solution, as some of the noxious components of the skunk spray will dissipate if they don’t get wet, (wetness causes it to bond to the fur).