Finding the Third Proportional to 256,323 and 560,897.25

Step by Step Solution

1. Step 1: Write the proportion equation
   256,323 : 560,897.25 = 560,897.25 : x
2. Step 2: Convert to fraction form
   256,323/560,897.25 = 560,897.25/x
3. Step 3: Cross multiply
   256,323x = 560,897.25 × 560,897.25
4. Step 4: Simplify right side
   256,323x = 314,605,725,057.56
5. Step 5: Solve for x
   x = 314,605,725,057.56/256,323
6. Step 6: Final answer
   x = 1,227,380.01