Finding the Third Proportional to 169.19 and 255.69

Step by Step Solution

1. Step 1: Write the proportion equation
   169.19 : 255.69 = 255.69 : x
2. Step 2: Convert to fraction form
   169.19/255.69 = 255.69/x
3. Step 3: Cross multiply
   169.19x = 255.69 × 255.69
4. Step 4: Simplify right side
   169.19x = 65,376.10
5. Step 5: Solve for x
   x = 65,376.10/169.19
6. Step 6: Final answer
   x = 386.41