Finding the Third Proportional to 123,960 and 268,524

Step by Step Solution

1. Step 1: Write the proportion equation
   123,960 : 268,524 = 268,524 : x
2. Step 2: Convert to fraction form
   123,960/268,524 = 268,524/x
3. Step 3: Cross multiply
   123,960x = 268,524 × 268,524
4. Step 4: Simplify right side
   123,960x = 72,105,138,576
5. Step 5: Solve for x
   x = 72,105,138,576/123,960
6. Step 6: Final answer
   x = 581,680.69