Finding the Third Proportional to 59,478 and 132,078

Step by Step Solution

1. Step 1: Write the proportion equation
   59,478 : 132,078 = 132,078 : x
2. Step 2: Convert to fraction form
   59,478/132,078 = 132,078/x
3. Step 3: Cross multiply
   59,478x = 132,078 × 132,078
4. Step 4: Simplify right side
   59,478x = 17,444,598,084
5. Step 5: Solve for x
   x = 17,444,598,084/59,478
6. Step 6: Final answer
   x = 293,294.97