Finding the Third Proportional to 123,912 and 196,941

Step by Step Solution

1. Step 1: Write the proportion equation
   123,912 : 196,941 = 196,941 : x
2. Step 2: Convert to fraction form
   123,912/196,941 = 196,941/x
3. Step 3: Cross multiply
   123,912x = 196,941 × 196,941
4. Step 4: Simplify right side
   123,912x = 38,785,757,481
5. Step 5: Solve for x
   x = 38,785,757,481/123,912
6. Step 6: Final answer
   x = 313,010.50