Finding the Third Proportional to 215.38 and 242.38

Step by Step Solution

1. Step 1: Write the proportion equation
   215.38 : 242.38 = 242.38 : x
2. Step 2: Convert to fraction form
   215.38/242.38 = 242.38/x
3. Step 3: Cross multiply
   215.38x = 242.38 × 242.38
4. Step 4: Simplify right side
   215.38x = 58,745.64
5. Step 5: Solve for x
   x = 58,745.64/215.38
6. Step 6: Final answer
   x = 272.76