Finding the Third Proportional to 82,404 and 179,496

Step by Step Solution

1. Step 1: Write the proportion equation
   82,404 : 179,496 = 179,496 : x
2. Step 2: Convert to fraction form
   82,404/179,496 = 179,496/x
3. Step 3: Cross multiply
   82,404x = 179,496 × 179,496
4. Step 4: Simplify right side
   82,404x = 32,218,814,016
5. Step 5: Solve for x
   x = 32,218,814,016/82,404
6. Step 6: Final answer
   x = 390,986.04