Finding the Third Proportional to 404,582 and 582,788

Step by Step Solution

1. Step 1: Write the proportion equation
   404,582 : 582,788 = 582,788 : x
2. Step 2: Convert to fraction form
   404,582/582,788 = 582,788/x
3. Step 3: Cross multiply
   404,582x = 582,788 × 582,788
4. Step 4: Simplify right side
   404,582x = 339,641,852,944
5. Step 5: Solve for x
   x = 339,641,852,944/404,582
6. Step 6: Final answer
   x = 839,488.29