Finding the Third Proportional to 89,676 and 196,764

Step by Step Solution

1. Step 1: Write the proportion equation
   89,676 : 196,764 = 196,764 : x
2. Step 2: Convert to fraction form
   89,676/196,764 = 196,764/x
3. Step 3: Cross multiply
   89,676x = 196,764 × 196,764
4. Step 4: Simplify right side
   89,676x = 38,716,071,696
5. Step 5: Solve for x
   x = 38,716,071,696/89,676
6. Step 6: Final answer
   x = 431,732.81