Finding the Third Proportional to 82,781.25 and 173,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,781.25 : 173,057.50 = 173,057.50 : x
2. Step 2: Convert to fraction form
   82,781.25/173,057.50 = 173,057.50/x
3. Step 3: Cross multiply
   82,781.25x = 173,057.50 × 173,057.50
4. Step 4: Simplify right side
   82,781.25x = 29,948,898,306.25
5. Step 5: Solve for x
   x = 29,948,898,306.25/82,781.25
6. Step 6: Final answer
   x = 361,783.60