Finding the Third Proportional to 82,496 and 180,448

Step by Step Solution

1. Step 1: Write the proportion equation
   82,496 : 180,448 = 180,448 : x
2. Step 2: Convert to fraction form
   82,496/180,448 = 180,448/x
3. Step 3: Cross multiply
   82,496x = 180,448 × 180,448
4. Step 4: Simplify right side
   82,496x = 32,561,480,704
5. Step 5: Solve for x
   x = 32,561,480,704/82,496
6. Step 6: Final answer
   x = 394,703.75