Finding the Third Proportional to 404,640 and 582,896

Step by Step Solution

1. Step 1: Write the proportion equation
   404,640 : 582,896 = 582,896 : x
2. Step 2: Convert to fraction form
   404,640/582,896 = 582,896/x
3. Step 3: Cross multiply
   404,640x = 582,896 × 582,896
4. Step 4: Simplify right side
   404,640x = 339,767,746,816
5. Step 5: Solve for x
   x = 339,767,746,816/404,640
6. Step 6: Final answer
   x = 839,679.09