Finding the Third Proportional to 123,923 and 196,957

Step by Step Solution

1. Step 1: Write the proportion equation
   123,923 : 196,957 = 196,957 : x
2. Step 2: Convert to fraction form
   123,923/196,957 = 196,957/x
3. Step 3: Cross multiply
   123,923x = 196,957 × 196,957
4. Step 4: Simplify right side
   123,923x = 38,792,059,849
5. Step 5: Solve for x
   x = 38,792,059,849/123,923
6. Step 6: Final answer
   x = 313,033.58