Finding the Third Proportional to 404,568 and 582,768

Step by Step Solution

1. Step 1: Write the proportion equation
   404,568 : 582,768 = 582,768 : x
2. Step 2: Convert to fraction form
   404,568/582,768 = 582,768/x
3. Step 3: Cross multiply
   404,568x = 582,768 × 582,768
4. Step 4: Simplify right side
   404,568x = 339,618,541,824
5. Step 5: Solve for x
   x = 339,618,541,824/404,568
6. Step 6: Final answer
   x = 839,459.72