Finding the Third Proportional to 398,816 and 613,004

Step by Step Solution

1. Step 1: Write the proportion equation
   398,816 : 613,004 = 613,004 : x
2. Step 2: Convert to fraction form
   398,816/613,004 = 613,004/x
3. Step 3: Cross multiply
   398,816x = 613,004 × 613,004
4. Step 4: Simplify right side
   398,816x = 375,773,904,016
5. Step 5: Solve for x
   x = 375,773,904,016/398,816
6. Step 6: Final answer
   x = 942,223.74