Finding the Third Proportional to 404,746 and 584,742

Step by Step Solution

1. Step 1: Write the proportion equation
   404,746 : 584,742 = 584,742 : x
2. Step 2: Convert to fraction form
   404,746/584,742 = 584,742/x
3. Step 3: Cross multiply
   404,746x = 584,742 × 584,742
4. Step 4: Simplify right side
   404,746x = 341,923,206,564
5. Step 5: Solve for x
   x = 341,923,206,564/404,746
6. Step 6: Final answer
   x = 844,784.65