Finding the Third Proportional to 165.79 and 255.89

Step by Step Solution

1. Step 1: Write the proportion equation
   165.79 : 255.89 = 255.89 : x
2. Step 2: Convert to fraction form
   165.79/255.89 = 255.89/x
3. Step 3: Cross multiply
   165.79x = 255.89 × 255.89
4. Step 4: Simplify right side
   165.79x = 65,478.98
5. Step 5: Solve for x
   x = 65,478.98/165.79
6. Step 6: Final answer
   x = 394.96