Finding the Third Proportional to 115.56 and 238.71

Step by Step Solution

1. Step 1: Write the proportion equation
   115.56 : 238.71 = 238.71 : x
2. Step 2: Convert to fraction form
   115.56/238.71 = 238.71/x
3. Step 3: Cross multiply
   115.56x = 238.71 × 238.71
4. Step 4: Simplify right side
   115.56x = 56,982.91
5. Step 5: Solve for x
   x = 56,982.91/115.56
6. Step 6: Final answer
   x = 493.11