Finding the Third Proportional to 59,480 and 85,493

Step by Step Solution

1. Step 1: Write the proportion equation
   59,480 : 85,493 = 85,493 : x
2. Step 2: Convert to fraction form
   59,480/85,493 = 85,493/x
3. Step 3: Cross multiply
   59,480x = 85,493 × 85,493
4. Step 4: Simplify right side
   59,480x = 7,309,053,049
5. Step 5: Solve for x
   x = 7,309,053,049/59,480
6. Step 6: Final answer
   x = 122,882.53