Finding the Third Proportional to 557.25 and 1,200.56

Step by Step Solution

1. Step 1: Write the proportion equation
   557.25 : 1,200.56 = 1,200.56 : x
2. Step 2: Convert to fraction form
   557.25/1,200.56 = 1,200.56/x
3. Step 3: Cross multiply
   557.25x = 1,200.56 × 1,200.56
4. Step 4: Simplify right side
   557.25x = 1,441,350.32
5. Step 5: Solve for x
   x = 1,441,350.32/557.25
6. Step 6: Final answer
   x = 2,586.54