Finding the Third Proportional to 123,342.75 and 268,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,342.75 : 268,960.50 = 268,960.50 : x
2. Step 2: Convert to fraction form
   123,342.75/268,960.50 = 268,960.50/x
3. Step 3: Cross multiply
   123,342.75x = 268,960.50 × 268,960.50
4. Step 4: Simplify right side
   123,342.75x = 72,339,750,560.25
5. Step 5: Solve for x
   x = 72,339,750,560.25/123,342.75
6. Step 6: Final answer
   x = 586,493.74