Finding the Third Proportional to 82,452 and 116,478

Step by Step Solution

1. Step 1: Write the proportion equation
   82,452 : 116,478 = 116,478 : x
2. Step 2: Convert to fraction form
   82,452/116,478 = 116,478/x
3. Step 3: Cross multiply
   82,452x = 116,478 × 116,478
4. Step 4: Simplify right side
   82,452x = 13,567,124,484
5. Step 5: Solve for x
   x = 13,567,124,484/82,452
6. Step 6: Final answer
   x = 164,545.73