Finding the Third Proportional to 271.69 and 397.69

Step by Step Solution

1. Step 1: Write the proportion equation
   271.69 : 397.69 = 397.69 : x
2. Step 2: Convert to fraction form
   271.69/397.69 = 397.69/x
3. Step 3: Cross multiply
   271.69x = 397.69 × 397.69
4. Step 4: Simplify right side
   271.69x = 158,155.35
5. Step 5: Solve for x
   x = 158,155.35/271.69
6. Step 6: Final answer
   x = 582.12