Finding the Third Proportional to 102,217.50 and 238,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,217.50 : 238,759.50 = 238,759.50 : x
2. Step 2: Convert to fraction form
   102,217.50/238,759.50 = 238,759.50/x
3. Step 3: Cross multiply
   102,217.50x = 238,759.50 × 238,759.50
4. Step 4: Simplify right side
   102,217.50x = 57,006,098,840.25
5. Step 5: Solve for x
   x = 57,006,098,840.25/102,217.50
6. Step 6: Final answer
   x = 557,694.12