Finding the Third Proportional to 562.78 and 801.42

Step by Step Solution

1. Step 1: Write the proportion equation
   562.78 : 801.42 = 801.42 : x
2. Step 2: Convert to fraction form
   562.78/801.42 = 801.42/x
3. Step 3: Cross multiply
   562.78x = 801.42 × 801.42
4. Step 4: Simplify right side
   562.78x = 642,277.02
5. Step 5: Solve for x
   x = 642,277.02/562.78
6. Step 6: Final answer
   x = 1,141.26