Finding the Third Proportional to 123,841 and 196,811

Step by Step Solution

1. Step 1: Write the proportion equation
   123,841 : 196,811 = 196,811 : x
2. Step 2: Convert to fraction form
   123,841/196,811 = 196,811/x
3. Step 3: Cross multiply
   123,841x = 196,811 × 196,811
4. Step 4: Simplify right side
   123,841x = 38,734,569,721
5. Step 5: Solve for x
   x = 38,734,569,721/123,841
6. Step 6: Final answer
   x = 312,776.62