Finding the Third Proportional to 115.83 and 271.27

Step by Step Solution

1. Step 1: Write the proportion equation
   115.83 : 271.27 = 271.27 : x
2. Step 2: Convert to fraction form
   115.83/271.27 = 271.27/x
3. Step 3: Cross multiply
   115.83x = 271.27 × 271.27
4. Step 4: Simplify right side
   115.83x = 73,585.04
5. Step 5: Solve for x
   x = 73,585.04/115.83
6. Step 6: Final answer
   x = 635.30