Finding the Third Proportional to 404,760 and 584,757

Step by Step Solution

1. Step 1: Write the proportion equation
   404,760 : 584,757 = 584,757 : x
2. Step 2: Convert to fraction form
   404,760/584,757 = 584,757/x
3. Step 3: Cross multiply
   404,760x = 584,757 × 584,757
4. Step 4: Simplify right side
   404,760x = 341,940,749,049
5. Step 5: Solve for x
   x = 341,940,749,049/404,760
6. Step 6: Final answer
   x = 844,798.77