Finding the Third Proportional to 89,416 and 132,578

Step by Step Solution

1. Step 1: Write the proportion equation
   89,416 : 132,578 = 132,578 : x
2. Step 2: Convert to fraction form
   89,416/132,578 = 132,578/x
3. Step 3: Cross multiply
   89,416x = 132,578 × 132,578
4. Step 4: Simplify right side
   89,416x = 17,576,926,084
5. Step 5: Solve for x
   x = 17,576,926,084/89,416
6. Step 6: Final answer
   x = 196,574.73