Finding the Third Proportional to 562.69 and 814.22

Step by Step Solution

1. Step 1: Write the proportion equation
   562.69 : 814.22 = 814.22 : x
2. Step 2: Convert to fraction form
   562.69/814.22 = 814.22/x
3. Step 3: Cross multiply
   562.69x = 814.22 × 814.22
4. Step 4: Simplify right side
   562.69x = 662,952.17
5. Step 5: Solve for x
   x = 662,952.17/562.69
6. Step 6: Final answer
   x = 1,178.19