Finding the Third Proportional to 123.38 and 232.69

Step by Step Solution

1. Step 1: Write the proportion equation
   123.38 : 232.69 = 232.69 : x
2. Step 2: Convert to fraction form
   123.38/232.69 = 232.69/x
3. Step 3: Cross multiply
   123.38x = 232.69 × 232.69
4. Step 4: Simplify right side
   123.38x = 54,143.47
5. Step 5: Solve for x
   x = 54,143.47/123.38
6. Step 6: Final answer
   x = 438.85