Finding the Third Proportional to 176.88 and 238.88

Step by Step Solution

1. Step 1: Write the proportion equation
   176.88 : 238.88 = 238.88 : x
2. Step 2: Convert to fraction form
   176.88/238.88 = 238.88/x
3. Step 3: Cross multiply
   176.88x = 238.88 × 238.88
4. Step 4: Simplify right side
   176.88x = 57,061.27
5. Step 5: Solve for x
   x = 57,061.27/176.88
6. Step 6: Final answer
   x = 322.61