Finding the Third Proportional to 123,574 and 269,800

Step by Step Solution

1. Step 1: Write the proportion equation
   123,574 : 269,800 = 269,800 : x
2. Step 2: Convert to fraction form
   123,574/269,800 = 269,800/x
3. Step 3: Cross multiply
   123,574x = 269,800 × 269,800
4. Step 4: Simplify right side
   123,574x = 72,792,040,000
5. Step 5: Solve for x
   x = 72,792,040,000/123,574
6. Step 6: Final answer
   x = 589,056.27