Finding the Third Proportional to 92,469 and 196,872

Step by Step Solution

1. Step 1: Write the proportion equation
   92,469 : 196,872 = 196,872 : x
2. Step 2: Convert to fraction form
   92,469/196,872 = 196,872/x
3. Step 3: Cross multiply
   92,469x = 196,872 × 196,872
4. Step 4: Simplify right side
   92,469x = 38,758,584,384
5. Step 5: Solve for x
   x = 38,758,584,384/92,469
6. Step 6: Final answer
   x = 419,152.20