Finding the Third Proportional to 123,569 and 269,974

Step by Step Solution

1. Step 1: Write the proportion equation
   123,569 : 269,974 = 269,974 : x
2. Step 2: Convert to fraction form
   123,569/269,974 = 269,974/x
3. Step 3: Cross multiply
   123,569x = 269,974 × 269,974
4. Step 4: Simplify right side
   123,569x = 72,885,960,676
5. Step 5: Solve for x
   x = 72,885,960,676/123,569
6. Step 6: Final answer
   x = 589,840.18