Finding the Third Proportional to 102,517 and 156,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,517 : 156,715.50 = 156,715.50 : x
2. Step 2: Convert to fraction form
   102,517/156,715.50 = 156,715.50/x
3. Step 3: Cross multiply
   102,517x = 156,715.50 × 156,715.50
4. Step 4: Simplify right side
   102,517x = 24,559,747,940.25
5. Step 5: Solve for x
   x = 24,559,747,940.25/102,517
6. Step 6: Final answer
   x = 239,567.56