Finding the Third Proportional to 123,566 and 269,792

Step by Step Solution

1. Step 1: Write the proportion equation
   123,566 : 269,792 = 269,792 : x
2. Step 2: Convert to fraction form
   123,566/269,792 = 269,792/x
3. Step 3: Cross multiply
   123,566x = 269,792 × 269,792
4. Step 4: Simplify right side
   123,566x = 72,787,723,264
5. Step 5: Solve for x
   x = 72,787,723,264/123,566
6. Step 6: Final answer
   x = 589,059.48