Finding the Third Proportional to 59,008 and 129,056

Step by Step Solution

1. Step 1: Write the proportion equation
   59,008 : 129,056 = 129,056 : x
2. Step 2: Convert to fraction form
   59,008/129,056 = 129,056/x
3. Step 3: Cross multiply
   59,008x = 129,056 × 129,056
4. Step 4: Simplify right side
   59,008x = 16,655,451,136
5. Step 5: Solve for x
   x = 16,655,451,136/59,008
6. Step 6: Final answer
   x = 282,257.51