Finding the Third Proportional to 181,300 and 398,496

Step by Step Solution

1. Step 1: Write the proportion equation
   181,300 : 398,496 = 398,496 : x
2. Step 2: Convert to fraction form
   181,300/398,496 = 398,496/x
3. Step 3: Cross multiply
   181,300x = 398,496 × 398,496
4. Step 4: Simplify right side
   181,300x = 158,799,062,016
5. Step 5: Solve for x
   x = 158,799,062,016/181,300
6. Step 6: Final answer
   x = 875,891.13