Finding the Third Proportional to 147,757.50 and 216,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,757.50 : 216,391.50 = 216,391.50 : x
2. Step 2: Convert to fraction form
   147,757.50/216,391.50 = 216,391.50/x
3. Step 3: Cross multiply
   147,757.50x = 216,391.50 × 216,391.50
4. Step 4: Simplify right side
   147,757.50x = 46,825,281,272.25
5. Step 5: Solve for x
   x = 46,825,281,272.25/147,757.50
6. Step 6: Final answer
   x = 316,906.29