Finding the Third Proportional to 165.23 and 255.52

Step by Step Solution

1. Step 1: Write the proportion equation
   165.23 : 255.52 = 255.52 : x
2. Step 2: Convert to fraction form
   165.23/255.52 = 255.52/x
3. Step 3: Cross multiply
   165.23x = 255.52 × 255.52
4. Step 4: Simplify right side
   165.23x = 65,288.23
5. Step 5: Solve for x
   x = 65,288.23/165.23
6. Step 6: Final answer
   x = 395.13