Finding the Third Proportional to 398,817 and 613,008

Step by Step Solution

1. Step 1: Write the proportion equation
   398,817 : 613,008 = 613,008 : x
2. Step 2: Convert to fraction form
   398,817/613,008 = 613,008/x
3. Step 3: Cross multiply
   398,817x = 613,008 × 613,008
4. Step 4: Simplify right side
   398,817x = 375,778,808,064
5. Step 5: Solve for x
   x = 375,778,808,064/398,817
6. Step 6: Final answer
   x = 942,233.68