Finding the Third Proportional to 404,658 and 582,883

Step by Step Solution

1. Step 1: Write the proportion equation
   404,658 : 582,883 = 582,883 : x
2. Step 2: Convert to fraction form
   404,658/582,883 = 582,883/x
3. Step 3: Cross multiply
   404,658x = 582,883 × 582,883
4. Step 4: Simplify right side
   404,658x = 339,752,591,689
5. Step 5: Solve for x
   x = 339,752,591,689/404,658
6. Step 6: Final answer
   x = 839,604.29