Finding the Third Proportional to 178.78 and 255.94

Step by Step Solution

1. Step 1: Write the proportion equation
   178.78 : 255.94 = 255.94 : x
2. Step 2: Convert to fraction form
   178.78/255.94 = 255.94/x
3. Step 3: Cross multiply
   178.78x = 255.94 × 255.94
4. Step 4: Simplify right side
   178.78x = 65,504.00
5. Step 5: Solve for x
   x = 65,504.00/178.78
6. Step 6: Final answer
   x = 366.39