Finding the Third Proportional to 123,338 and 269,020

Step by Step Solution

1. Step 1: Write the proportion equation
   123,338 : 269,020 = 269,020 : x
2. Step 2: Convert to fraction form
   123,338/269,020 = 269,020/x
3. Step 3: Cross multiply
   123,338x = 269,020 × 269,020
4. Step 4: Simplify right side
   123,338x = 72,371,760,400
5. Step 5: Solve for x
   x = 72,371,760,400/123,338
6. Step 6: Final answer
   x = 586,775.85