Finding the Third Proportional to 89,683 and 196,861

Step by Step Solution

1. Step 1: Write the proportion equation
   89,683 : 196,861 = 196,861 : x
2. Step 2: Convert to fraction form
   89,683/196,861 = 196,861/x
3. Step 3: Cross multiply
   89,683x = 196,861 × 196,861
4. Step 4: Simplify right side
   89,683x = 38,754,253,321
5. Step 5: Solve for x
   x = 38,754,253,321/89,683
6. Step 6: Final answer
   x = 432,124.85