Finding the Third Proportional to 120.38 and 178.88

Step by Step Solution

1. Step 1: Write the proportion equation
   120.38 : 178.88 = 178.88 : x
2. Step 2: Convert to fraction form
   120.38/178.88 = 178.88/x
3. Step 3: Cross multiply
   120.38x = 178.88 × 178.88
4. Step 4: Simplify right side
   120.38x = 31,996.27
5. Step 5: Solve for x
   x = 31,996.27/120.38
6. Step 6: Final answer
   x = 265.80