Finding the Third Proportional to 208.41 and 238.78

Step by Step Solution

1. Step 1: Write the proportion equation
   208.41 : 238.78 = 238.78 : x
2. Step 2: Convert to fraction form
   208.41/238.78 = 238.78/x
3. Step 3: Cross multiply
   208.41x = 238.78 × 238.78
4. Step 4: Simplify right side
   208.41x = 57,016.49
5. Step 5: Solve for x
   x = 57,016.49/208.41
6. Step 6: Final answer
   x = 273.58