Finding the Third Proportional to 118,837.50 and 172,892.25

Step by Step Solution

1. Step 1: Write the proportion equation
   118,837.50 : 172,892.25 = 172,892.25 : x
2. Step 2: Convert to fraction form
   118,837.50/172,892.25 = 172,892.25/x
3. Step 3: Cross multiply
   118,837.50x = 172,892.25 × 172,892.25
4. Step 4: Simplify right side
   118,837.50x = 29,891,730,110.06
5. Step 5: Solve for x
   x = 29,891,730,110.06/118,837.50
6. Step 6: Final answer
   x = 251,534.49