Finding the Third Proportional to 256,704 and 563,008

Step by Step Solution

1. Step 1: Write the proportion equation
   256,704 : 563,008 = 563,008 : x
2. Step 2: Convert to fraction form
   256,704/563,008 = 563,008/x
3. Step 3: Cross multiply
   256,704x = 563,008 × 563,008
4. Step 4: Simplify right side
   256,704x = 316,978,008,064
5. Step 5: Solve for x
   x = 316,978,008,064/256,704
6. Step 6: Final answer
   x = 1,234,799.64