Finding the Third Proportional to 123,561 and 269,298

Step by Step Solution

1. Step 1: Write the proportion equation
   123,561 : 269,298 = 269,298 : x
2. Step 2: Convert to fraction form
   123,561/269,298 = 269,298/x
3. Step 3: Cross multiply
   123,561x = 269,298 × 269,298
4. Step 4: Simplify right side
   123,561x = 72,521,412,804
5. Step 5: Solve for x
   x = 72,521,412,804/123,561
6. Step 6: Final answer
   x = 586,928.02