Finding the Third Proportional to 814.22 and 1,120.78

Step by Step Solution

1. Step 1: Write the proportion equation
   814.22 : 1,120.78 = 1,120.78 : x
2. Step 2: Convert to fraction form
   814.22/1,120.78 = 1,120.78/x
3. Step 3: Cross multiply
   814.22x = 1,120.78 × 1,120.78
4. Step 4: Simplify right side
   814.22x = 1,256,150.61
5. Step 5: Solve for x
   x = 1,256,150.61/814.22
6. Step 6: Final answer
   x = 1,542.77