Finding the Third Proportional to 404,718 and 584,702

Step by Step Solution

1. Step 1: Write the proportion equation
   404,718 : 584,702 = 584,702 : x
2. Step 2: Convert to fraction form
   404,718/584,702 = 584,702/x
3. Step 3: Cross multiply
   404,718x = 584,702 × 584,702
4. Step 4: Simplify right side
   404,718x = 341,876,428,804
5. Step 5: Solve for x
   x = 341,876,428,804/404,718
6. Step 6: Final answer
   x = 844,727.51