Finding the Third Proportional to 112,194 and 172,131

Step by Step Solution

1. Step 1: Write the proportion equation
   112,194 : 172,131 = 172,131 : x
2. Step 2: Convert to fraction form
   112,194/172,131 = 172,131/x
3. Step 3: Cross multiply
   112,194x = 172,131 × 172,131
4. Step 4: Simplify right side
   112,194x = 29,629,081,161
5. Step 5: Solve for x
   x = 29,629,081,161/112,194
6. Step 6: Final answer
   x = 264,087.93