Finding the Third Proportional to 107,653.50 and 231,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,653.50 : 231,760.50 = 231,760.50 : x
2. Step 2: Convert to fraction form
   107,653.50/231,760.50 = 231,760.50/x
3. Step 3: Cross multiply
   107,653.50x = 231,760.50 × 231,760.50
4. Step 4: Simplify right side
   107,653.50x = 53,712,929,360.25
5. Step 5: Solve for x
   x = 53,712,929,360.25/107,653.50
6. Step 6: Final answer
   x = 498,942.71