Finding the Third Proportional to 181.41 and 255.23

Step by Step Solution

1. Step 1: Write the proportion equation
   181.41 : 255.23 = 255.23 : x
2. Step 2: Convert to fraction form
   181.41/255.23 = 255.23/x
3. Step 3: Cross multiply
   181.41x = 255.23 × 255.23
4. Step 4: Simplify right side
   181.41x = 65,144.59
5. Step 5: Solve for x
   x = 65,144.59/181.41
6. Step 6: Final answer
   x = 359.11