Finding the Third Proportional to 123.38 and 186.38

Step by Step Solution

1. Step 1: Write the proportion equation
   123.38 : 186.38 = 186.38 : x
2. Step 2: Convert to fraction form
   123.38/186.38 = 186.38/x
3. Step 3: Cross multiply
   123.38x = 186.38 × 186.38
4. Step 4: Simplify right side
   123.38x = 34,735.64
5. Step 5: Solve for x
   x = 34,735.64/123.38
6. Step 6: Final answer
   x = 281.55