Finding the Third Proportional to 107,662 and 231,776

Step by Step Solution

1. Step 1: Write the proportion equation
   107,662 : 231,776 = 231,776 : x
2. Step 2: Convert to fraction form
   107,662/231,776 = 231,776/x
3. Step 3: Cross multiply
   107,662x = 231,776 × 231,776
4. Step 4: Simplify right side
   107,662x = 53,720,114,176
5. Step 5: Solve for x
   x = 53,720,114,176/107,662
6. Step 6: Final answer
   x = 498,970.06