Finding the Third Proportional to 107,661 and 231,774

Step by Step Solution

1. Step 1: Write the proportion equation
   107,661 : 231,774 = 231,774 : x
2. Step 2: Convert to fraction form
   107,661/231,774 = 231,774/x
3. Step 3: Cross multiply
   107,661x = 231,774 × 231,774
4. Step 4: Simplify right side
   107,661x = 53,719,187,076
5. Step 5: Solve for x
   x = 53,719,187,076/107,661
6. Step 6: Final answer
   x = 498,966.08