Finding the Third Proportional to 89,366 and 196,443

Step by Step Solution

1. Step 1: Write the proportion equation
   89,366 : 196,443 = 196,443 : x
2. Step 2: Convert to fraction form
   89,366/196,443 = 196,443/x
3. Step 3: Cross multiply
   89,366x = 196,443 × 196,443
4. Step 4: Simplify right side
   89,366x = 38,589,852,249
5. Step 5: Solve for x
   x = 38,589,852,249/89,366
6. Step 6: Final answer
   x = 431,818.05