Finding the Third Proportional to 123.43 and 268.57

Step by Step Solution

1. Step 1: Write the proportion equation
   123.43 : 268.57 = 268.57 : x
2. Step 2: Convert to fraction form
   123.43/268.57 = 268.57/x
3. Step 3: Cross multiply
   123.43x = 268.57 × 268.57
4. Step 4: Simplify right side
   123.43x = 72,129.62
5. Step 5: Solve for x
   x = 72,129.62/123.43
6. Step 6: Final answer
   x = 584.39