Finding the Third Proportional to 107,775.50 and 231,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,775.50 : 231,761.50 = 231,761.50 : x
2. Step 2: Convert to fraction form
   107,775.50/231,761.50 = 231,761.50/x
3. Step 3: Cross multiply
   107,775.50x = 231,761.50 × 231,761.50
4. Step 4: Simplify right side
   107,775.50x = 53,713,392,882.25
5. Step 5: Solve for x
   x = 53,713,392,882.25/107,775.50
6. Step 6: Final answer
   x = 498,382.22