Finding the Third Proportional to 379.69 and 571.22

Step by Step Solution

1. Step 1: Write the proportion equation
   379.69 : 571.22 = 571.22 : x
2. Step 2: Convert to fraction form
   379.69/571.22 = 571.22/x
3. Step 3: Cross multiply
   379.69x = 571.22 × 571.22
4. Step 4: Simplify right side
   379.69x = 326,290.86
5. Step 5: Solve for x
   x = 326,290.86/379.69
6. Step 6: Final answer
   x = 859.37