Finding the Third Proportional to 123.38 and 260.81

Step by Step Solution

1. Step 1: Write the proportion equation
   123.38 : 260.81 = 260.81 : x
2. Step 2: Convert to fraction form
   123.38/260.81 = 260.81/x
3. Step 3: Cross multiply
   123.38x = 260.81 × 260.81
4. Step 4: Simplify right side
   123.38x = 68,023.16
5. Step 5: Solve for x
   x = 68,023.16/123.38
6. Step 6: Final answer
   x = 551.35