Finding the Third Proportional to 404,748 and 584,744

Step by Step Solution

1. Step 1: Write the proportion equation
   404,748 : 584,744 = 584,744 : x
2. Step 2: Convert to fraction form
   404,748/584,744 = 584,744/x
3. Step 3: Cross multiply
   404,748x = 584,744 × 584,744
4. Step 4: Simplify right side
   404,748x = 341,925,545,536
5. Step 5: Solve for x
   x = 341,925,545,536/404,748
6. Step 6: Final answer
   x = 844,786.25