Finding the Third Proportional to 123.25 and 268.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123.25 : 268.75 = 268.75 : x
2. Step 2: Convert to fraction form
   123.25/268.75 = 268.75/x
3. Step 3: Cross multiply
   123.25x = 268.75 × 268.75
4. Step 4: Simplify right side
   123.25x = 72,226.56
5. Step 5: Solve for x
   x = 72,226.56/123.25
6. Step 6: Final answer
   x = 586.02