Finding the Third Proportional to 123.05 and 268.45

Step by Step Solution

1. Step 1: Write the proportion equation
   123.05 : 268.45 = 268.45 : x
2. Step 2: Convert to fraction form
   123.05/268.45 = 268.45/x
3. Step 3: Cross multiply
   123.05x = 268.45 × 268.45
4. Step 4: Simplify right side
   123.05x = 72,067.08
5. Step 5: Solve for x
   x = 72,067.08/123.05
6. Step 6: Final answer
   x = 585.69