Finding the Third Proportional to 102,609 and 157,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,609 : 157,612.50 = 157,612.50 : x
2. Step 2: Convert to fraction form
   102,609/157,612.50 = 157,612.50/x
3. Step 3: Cross multiply
   102,609x = 157,612.50 × 157,612.50
4. Step 4: Simplify right side
   102,609x = 24,841,700,156.25
5. Step 5: Solve for x
   x = 24,841,700,156.25/102,609
6. Step 6: Final answer
   x = 242,100.60