Finding the Third Proportional to 256,081.50 and 560,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,081.50 : 560,380.50 = 560,380.50 : x
2. Step 2: Convert to fraction form
   256,081.50/560,380.50 = 560,380.50/x
3. Step 3: Cross multiply
   256,081.50x = 560,380.50 × 560,380.50
4. Step 4: Simplify right side
   256,081.50x = 314,026,304,780.25
5. Step 5: Solve for x
   x = 314,026,304,780.25/256,081.50
6. Step 6: Final answer
   x = 1,226,274.86