Finding the Third Proportional to 59,496 and 129,648

Step by Step Solution

1. Step 1: Write the proportion equation
   59,496 : 129,648 = 129,648 : x
2. Step 2: Convert to fraction form
   59,496/129,648 = 129,648/x
3. Step 3: Cross multiply
   59,496x = 129,648 × 129,648
4. Step 4: Simplify right side
   59,496x = 16,808,603,904
5. Step 5: Solve for x
   x = 16,808,603,904/59,496
6. Step 6: Final answer
   x = 282,516.54