Finding the Third Proportional to 59,996 and 129,496

Step by Step Solution

1. Step 1: Write the proportion equation
   59,996 : 129,496 = 129,496 : x
2. Step 2: Convert to fraction form
   59,996/129,496 = 129,496/x
3. Step 3: Cross multiply
   59,996x = 129,496 × 129,496
4. Step 4: Simplify right side
   59,996x = 16,769,214,016
5. Step 5: Solve for x
   x = 16,769,214,016/59,996
6. Step 6: Final answer
   x = 279,505.53