Finding the Third Proportional to 123,914 and 196,923

Step by Step Solution

1. Step 1: Write the proportion equation
   123,914 : 196,923 = 196,923 : x
2. Step 2: Convert to fraction form
   123,914/196,923 = 196,923/x
3. Step 3: Cross multiply
   123,914x = 196,923 × 196,923
4. Step 4: Simplify right side
   123,914x = 38,778,667,929
5. Step 5: Solve for x
   x = 38,778,667,929/123,914
6. Step 6: Final answer
   x = 312,948.24