Finding the Third Proportional to 165.38 and 222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   165.38 : 222.75 = 222.75 : x
2. Step 2: Convert to fraction form
   165.38/222.75 = 222.75/x
3. Step 3: Cross multiply
   165.38x = 222.75 × 222.75
4. Step 4: Simplify right side
   165.38x = 49,617.56
5. Step 5: Solve for x
   x = 49,617.56/165.38
6. Step 6: Final answer
   x = 300.03