Mix together a quart of hydrogen peroxide, 1/4 cup baking soda and 1-2 tsp Dawn dishwashing detergent. Add warm water as needed to make enough solution to cover the whole dog. Rub it in well with a sponge and then rinse with warm water. Repeat if necessary.
Keep out of eyes (yours and dog's.)
Skunk spray is oily - this solution is designed to break down oily substances. If the dog's eyes are very irritated from the skunk, call a vet for advice.