Finding the Third Proportional to 103,624 and 157,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,624 : 157,461.50 = 157,461.50 : x
2. Step 2: Convert to fraction form
   103,624/157,461.50 = 157,461.50/x
3. Step 3: Cross multiply
   103,624x = 157,461.50 × 157,461.50
4. Step 4: Simplify right side
   103,624x = 24,794,123,982.25
5. Step 5: Solve for x
   x = 24,794,123,982.25/103,624
6. Step 6: Final answer
   x = 239,270.09