Ok, You've thrown me a curve....Are these older W36" sections? I ask this because they don't convert to any W36" shape that I see in the AISC's 13th edition of the Steel Construction Manual.
Here are some WF Sections that are close to what you quoted:
W920x342 [W36x231] to W920x417 [W36x282]
....this combo has a 5/8" mis-match in depth.(might present some fit-up challenges at the bottom flanges) ...if the top flanges are required to be top flush.
Flanges only have an 1/8" difference in width(no problem there)
Flange thickness has a mis-match of 1 1/4" vs 1 9/16"(which would require some creative stringer stacking, but can be accomplished)
Webs ¾" vs 7/8"
The other splice is W920x368 [W36x247] to W920x449 [W36x302]...this combo has a ¾" mis-match in depth(again same, scenario at the bottom flanges if top flush is required)
Flanges have an 1/8" difference in width(no problem there)
Flange thickness has a mis-match of 1 3/8" vs 1 11/16"(again requiring some creative welding to make a nice transition)
Webs 7/8 vs 1"
Sounds doable.
edit: Just remember to keep the thickness transitions at 2.5:1 or less like D1.1:2006 suggests(paragraph 2.25)(Fig 2.2)