Finding the Third Proportional to 397.69 and 562.22

Step by Step Solution

1. Step 1: Write the proportion equation
   397.69 : 562.22 = 562.22 : x
2. Step 2: Convert to fraction form
   397.69/562.22 = 562.22/x
3. Step 3: Cross multiply
   397.69x = 562.22 × 562.22
4. Step 4: Simplify right side
   397.69x = 316,089.92
5. Step 5: Solve for x
   x = 316,089.92/397.69
6. Step 6: Final answer
   x = 794.82