Finding the Third Proportional to 123,307 and 268,957

Step by Step Solution

1. Step 1: Write the proportion equation
   123,307 : 268,957 = 268,957 : x
2. Step 2: Convert to fraction form
   123,307/268,957 = 268,957/x
3. Step 3: Cross multiply
   123,307x = 268,957 × 268,957
4. Step 4: Simplify right side
   123,307x = 72,337,867,849
5. Step 5: Solve for x
   x = 72,337,867,849/123,307
6. Step 6: Final answer
   x = 586,648.51