Finding the Third Proportional to 102,547.50 and 155,238

Step by Step Solution

1. Step 1: Write the proportion equation
   102,547.50 : 155,238 = 155,238 : x
2. Step 2: Convert to fraction form
   102,547.50/155,238 = 155,238/x
3. Step 3: Cross multiply
   102,547.50x = 155,238 × 155,238
4. Step 4: Simplify right side
   102,547.50x = 24,098,836,644
5. Step 5: Solve for x
   x = 24,098,836,644/102,547.50
6. Step 6: Final answer
   x = 235,001.70