Draw a horizontal line along the base of the wall, positioning it up off the floor by the height of a travertine tile plus ¼ inch. So if the tiles are eight inches high, the line should be 8-1/4 inches up from the floor.
Draw a vertical line through the wall, at the middle, from top to bottom.
Spread tile adhesive over the bottom of the wall, from the floor to the horizontal line, with a notched tiling trowel, from end to end.
Set the lowest course of travertine tiles in the adhesive, under the horizontal line, beginning at the vertical line in the center. Set spacers between the tiles as you go. Cut the tiles at the ends on your tile saw, as necessary.
Install the second course in the same way, spreading on more adhesive, and hanging the tiles beginning at the middle and working to the sides. Repeat, working course by course and covering the whole wall.
Let the adhesive set overnight. Remove the spacers.
Brush tile sealant over the whole surface with a foam brush in a thin flat coat. Don't get the sealant in the craters of the tiles or in the spaces between them. Let it dry for four hours.
Spread grout over the surface with a grout float, working from the top down. Scrape the edge of the float over the surface to press the grout into the spaces and holes, while scraping it off the flat parts.
Wipe off the excess grout from the surface with a dampend sponge, leaving it in the holes and spaces.
Let the grout dry for at least five days. Brush on another layer of stone tile sealant, covering the grout and tiles.