Finding the Third Proportional to 123,059 and 268,896

Step by Step Solution

1. Step 1: Write the proportion equation
   123,059 : 268,896 = 268,896 : x
2. Step 2: Convert to fraction form
   123,059/268,896 = 268,896/x
3. Step 3: Cross multiply
   123,059x = 268,896 × 268,896
4. Step 4: Simplify right side
   123,059x = 72,305,058,816
5. Step 5: Solve for x
   x = 72,305,058,816/123,059
6. Step 6: Final answer
   x = 587,564.17