Finding the Third Proportional to 178.88 and 255.38

Step by Step Solution

1. Step 1: Write the proportion equation
   178.88 : 255.38 = 255.38 : x
2. Step 2: Convert to fraction form
   178.88/255.38 = 255.38/x
3. Step 3: Cross multiply
   178.88x = 255.38 × 255.38
4. Step 4: Simplify right side
   178.88x = 65,216.39
5. Step 5: Solve for x
   x = 65,216.39/178.88
6. Step 6: Final answer
   x = 364.59