Finding the Third Proportional to 110.27 and 238.89

Step by Step Solution

1. Step 1: Write the proportion equation
   110.27 : 238.89 = 238.89 : x
2. Step 2: Convert to fraction form
   110.27/238.89 = 238.89/x
3. Step 3: Cross multiply
   110.27x = 238.89 × 238.89
4. Step 4: Simplify right side
   110.27x = 57,066.86
5. Step 5: Solve for x
   x = 57,066.86/110.27
6. Step 6: Final answer
   x = 517.53