Finding the Third Proportional to 165.38 and 234.56

Step by Step Solution

1. Step 1: Write the proportion equation
   165.38 : 234.56 = 234.56 : x
2. Step 2: Convert to fraction form
   165.38/234.56 = 234.56/x
3. Step 3: Cross multiply
   165.38x = 234.56 × 234.56
4. Step 4: Simplify right side
   165.38x = 55,019.57
5. Step 5: Solve for x
   x = 55,019.57/165.38
6. Step 6: Final answer
   x = 332.70