Finding the Third Proportional to 256,776 and 572,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,776 : 572,560.50 = 572,560.50 : x
2. Step 2: Convert to fraction form
   256,776/572,560.50 = 572,560.50/x
3. Step 3: Cross multiply
   256,776x = 572,560.50 × 572,560.50
4. Step 4: Simplify right side
   256,776x = 327,825,526,160.25
5. Step 5: Solve for x
   x = 327,825,526,160.25/256,776
6. Step 6: Final answer
   x = 1,276,698.47