Finding the Third Proportional to 123.13 and 137.38

Step by Step Solution

1. Step 1: Write the proportion equation
   123.13 : 137.38 = 137.38 : x
2. Step 2: Convert to fraction form
   123.13/137.38 = 137.38/x
3. Step 3: Cross multiply
   123.13x = 137.38 × 137.38
4. Step 4: Simplify right side
   123.13x = 18,871.89
5. Step 5: Solve for x
   x = 18,871.89/123.13
6. Step 6: Final answer
   x = 153.27