Finding the Third Proportional to 271.03 and 382.27

Step by Step Solution

1. Step 1: Write the proportion equation
   271.03 : 382.27 = 382.27 : x
2. Step 2: Convert to fraction form
   271.03/382.27 = 382.27/x
3. Step 3: Cross multiply
   271.03x = 382.27 × 382.27
4. Step 4: Simplify right side
   271.03x = 146,127.01
5. Step 5: Solve for x
   x = 146,127.01/271.03
6. Step 6: Final answer
   x = 539.15