Finding the Third Proportional to 404,720 and 584,704

Step by Step Solution

1. Step 1: Write the proportion equation
   404,720 : 584,704 = 584,704 : x
2. Step 2: Convert to fraction form
   404,720/584,704 = 584,704/x
3. Step 3: Cross multiply
   404,720x = 584,704 × 584,704
4. Step 4: Simplify right side
   404,720x = 341,878,767,616
5. Step 5: Solve for x
   x = 341,878,767,616/404,720
6. Step 6: Final answer
   x = 844,729.12