Finding the Third Proportional to 257,559.75 and 564,327

Step by Step Solution

1. Step 1: Write the proportion equation
   257,559.75 : 564,327 = 564,327 : x
2. Step 2: Convert to fraction form
   257,559.75/564,327 = 564,327/x
3. Step 3: Cross multiply
   257,559.75x = 564,327 × 564,327
4. Step 4: Simplify right side
   257,559.75x = 318,464,962,929
5. Step 5: Solve for x
   x = 318,464,962,929/257,559.75
6. Step 6: Final answer
   x = 1,236,470.23