Finding the Third Proportional to 404,534.25 and 582,714

Step by Step Solution

1. Step 1: Write the proportion equation
   404,534.25 : 582,714 = 582,714 : x
2. Step 2: Convert to fraction form
   404,534.25/582,714 = 582,714/x
3. Step 3: Cross multiply
   404,534.25x = 582,714 × 582,714
4. Step 4: Simplify right side
   404,534.25x = 339,555,605,796
5. Step 5: Solve for x
   x = 339,555,605,796/404,534.25
6. Step 6: Final answer
   x = 839,374.18