Finding the Third Proportional to 256,662 and 560,826

Step by Step Solution

1. Step 1: Write the proportion equation
   256,662 : 560,826 = 560,826 : x
2. Step 2: Convert to fraction form
   256,662/560,826 = 560,826/x
3. Step 3: Cross multiply
   256,662x = 560,826 × 560,826
4. Step 4: Simplify right side
   256,662x = 314,525,802,276
5. Step 5: Solve for x
   x = 314,525,802,276/256,662
6. Step 6: Final answer
   x = 1,225,447.48