Finding the Third Proportional to 199.78 and 238.88

Step by Step Solution

1. Step 1: Write the proportion equation
   199.78 : 238.88 = 238.88 : x
2. Step 2: Convert to fraction form
   199.78/238.88 = 238.88/x
3. Step 3: Cross multiply
   199.78x = 238.88 × 238.88
4. Step 4: Simplify right side
   199.78x = 57,061.27
5. Step 5: Solve for x
   x = 57,061.27/199.78
6. Step 6: Final answer
   x = 285.62