Finding the Third Proportional to 165.88 and 265.69

Step by Step Solution

1. Step 1: Write the proportion equation
   165.88 : 265.69 = 265.69 : x
2. Step 2: Convert to fraction form
   165.88/265.69 = 265.69/x
3. Step 3: Cross multiply
   165.88x = 265.69 × 265.69
4. Step 4: Simplify right side
   165.88x = 70,589.85
5. Step 5: Solve for x
   x = 70,589.85/165.88
6. Step 6: Final answer
   x = 425.56