Finding the Third Proportional to 648.38 and 1,200.56

Step by Step Solution

1. Step 1: Write the proportion equation
   648.38 : 1,200.56 = 1,200.56 : x
2. Step 2: Convert to fraction form
   648.38/1,200.56 = 1,200.56/x
3. Step 3: Cross multiply
   648.38x = 1,200.56 × 1,200.56
4. Step 4: Simplify right side
   648.38x = 1,441,350.32
5. Step 5: Solve for x
   x = 1,441,350.32/648.38
6. Step 6: Final answer
   x = 2,223.02