Finding the Third Proportional to 181,442 and 398,308

Step by Step Solution

1. Step 1: Write the proportion equation
   181,442 : 398,308 = 398,308 : x
2. Step 2: Convert to fraction form
   181,442/398,308 = 398,308/x
3. Step 3: Cross multiply
   181,442x = 398,308 × 398,308
4. Step 4: Simplify right side
   181,442x = 158,649,262,864
5. Step 5: Solve for x
   x = 158,649,262,864/181,442
6. Step 6: Final answer
   x = 874,380.04