Finding the Third Proportional to 89,671 and 196,757

Step by Step Solution

1. Step 1: Write the proportion equation
   89,671 : 196,757 = 196,757 : x
2. Step 2: Convert to fraction form
   89,671/196,757 = 196,757/x
3. Step 3: Cross multiply
   89,671x = 196,757 × 196,757
4. Step 4: Simplify right side
   89,671x = 38,713,317,049
5. Step 5: Solve for x
   x = 38,713,317,049/89,671
6. Step 6: Final answer
   x = 431,726.17