Finding the Third Proportional to 123,510 and 269,110

Step by Step Solution

1. Step 1: Write the proportion equation
   123,510 : 269,110 = 269,110 : x
2. Step 2: Convert to fraction form
   123,510/269,110 = 269,110/x
3. Step 3: Cross multiply
   123,510x = 269,110 × 269,110
4. Step 4: Simplify right side
   123,510x = 72,420,192,100
5. Step 5: Solve for x
   x = 72,420,192,100/123,510
6. Step 6: Final answer
   x = 586,350.84