Finding the Third Proportional to 59,142 and 89,328

Step by Step Solution

1. Step 1: Write the proportion equation
   59,142 : 89,328 = 89,328 : x
2. Step 2: Convert to fraction form
   59,142/89,328 = 89,328/x
3. Step 3: Cross multiply
   59,142x = 89,328 × 89,328
4. Step 4: Simplify right side
   59,142x = 7,979,491,584
5. Step 5: Solve for x
   x = 7,979,491,584/59,142
6. Step 6: Final answer
   x = 134,920.90