Finding the Third Proportional to 59,432 and 126,496

Step by Step Solution

1. Step 1: Write the proportion equation
   59,432 : 126,496 = 126,496 : x
2. Step 2: Convert to fraction form
   59,432/126,496 = 126,496/x
3. Step 3: Cross multiply
   59,432x = 126,496 × 126,496
4. Step 4: Simplify right side
   59,432x = 16,001,238,016
5. Step 5: Solve for x
   x = 16,001,238,016/59,432
6. Step 6: Final answer
   x = 269,236.07