Finding the Third Proportional to 256,383 and 561,078

Step by Step Solution

1. Step 1: Write the proportion equation
   256,383 : 561,078 = 561,078 : x
2. Step 2: Convert to fraction form
   256,383/561,078 = 561,078/x
3. Step 3: Cross multiply
   256,383x = 561,078 × 561,078
4. Step 4: Simplify right side
   256,383x = 314,808,522,084
5. Step 5: Solve for x
   x = 314,808,522,084/256,383
6. Step 6: Final answer
   x = 1,227,883.76