Finding the Third Proportional to 165.72 and 250.69

Step by Step Solution

1. Step 1: Write the proportion equation
   165.72 : 250.69 = 250.69 : x
2. Step 2: Convert to fraction form
   165.72/250.69 = 250.69/x
3. Step 3: Cross multiply
   165.72x = 250.69 × 250.69
4. Step 4: Simplify right side
   165.72x = 62,844.22
5. Step 5: Solve for x
   x = 62,844.22/165.72
6. Step 6: Final answer
   x = 379.22