Finding the Third Proportional to 157,534 and 239,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,534 : 239,213.50 = 239,213.50 : x
2. Step 2: Convert to fraction form
   157,534/239,213.50 = 239,213.50/x
3. Step 3: Cross multiply
   157,534x = 239,213.50 × 239,213.50
4. Step 4: Simplify right side
   157,534x = 57,223,098,582.25
5. Step 5: Solve for x
   x = 57,223,098,582.25/157,534
6. Step 6: Final answer
   x = 363,242.85