Finding the Third Proportional to 165.16 and 250.59

Step by Step Solution

1. Step 1: Write the proportion equation
   165.16 : 250.59 = 250.59 : x
2. Step 2: Convert to fraction form
   165.16/250.59 = 250.59/x
3. Step 3: Cross multiply
   165.16x = 250.59 × 250.59
4. Step 4: Simplify right side
   165.16x = 62,797.23
5. Step 5: Solve for x
   x = 62,797.23/165.16
6. Step 6: Final answer
   x = 380.21