Finding the Third Proportional to 109,662 and 234,864

Step by Step Solution

1. Step 1: Write the proportion equation
   109,662 : 234,864 = 234,864 : x
2. Step 2: Convert to fraction form
   109,662/234,864 = 234,864/x
3. Step 3: Cross multiply
   109,662x = 234,864 × 234,864
4. Step 4: Simplify right side
   109,662x = 55,161,098,496
5. Step 5: Solve for x
   x = 55,161,098,496/109,662
6. Step 6: Final answer
   x = 503,010.14