Finding the Third Proportional to 256,564 and 561,404

Step by Step Solution

1. Step 1: Write the proportion equation
   256,564 : 561,404 = 561,404 : x
2. Step 2: Convert to fraction form
   256,564/561,404 = 561,404/x
3. Step 3: Cross multiply
   256,564x = 561,404 × 561,404
4. Step 4: Simplify right side
   256,564x = 315,174,451,216
5. Step 5: Solve for x
   x = 315,174,451,216/256,564
6. Step 6: Final answer
   x = 1,228,443.78