Finding the Third Proportional to 169.06 and 258.72

Step by Step Solution

1. Step 1: Write the proportion equation
   169.06 : 258.72 = 258.72 : x
2. Step 2: Convert to fraction form
   169.06/258.72 = 258.72/x
3. Step 3: Cross multiply
   169.06x = 258.72 × 258.72
4. Step 4: Simplify right side
   169.06x = 66,935.39
5. Step 5: Solve for x
   x = 66,935.39/169.06
6. Step 6: Final answer
   x = 395.92