Finding the Third Proportional to 271.05 and 363.02

Step by Step Solution

1. Step 1: Write the proportion equation
   271.05 : 363.02 = 363.02 : x
2. Step 2: Convert to fraction form
   271.05/363.02 = 363.02/x
3. Step 3: Cross multiply
   271.05x = 363.02 × 363.02
4. Step 4: Simplify right side
   271.05x = 131,786.02
5. Step 5: Solve for x
   x = 131,786.02/271.05
6. Step 6: Final answer
   x = 486.20