Finding the Third Proportional to 165.75 and 253.38

Step by Step Solution

1. Step 1: Write the proportion equation
   165.75 : 253.38 = 253.38 : x
2. Step 2: Convert to fraction form
   165.75/253.38 = 253.38/x
3. Step 3: Cross multiply
   165.75x = 253.38 × 253.38
4. Step 4: Simplify right side
   165.75x = 64,198.89
5. Step 5: Solve for x
   x = 64,198.89/165.75
6. Step 6: Final answer
   x = 387.32