Finding the Third Proportional to 89,669 and 196,753

Step by Step Solution

1. Step 1: Write the proportion equation
   89,669 : 196,753 = 196,753 : x
2. Step 2: Convert to fraction form
   89,669/196,753 = 196,753/x
3. Step 3: Cross multiply
   89,669x = 196,753 × 196,753
4. Step 4: Simplify right side
   89,669x = 38,711,743,009
5. Step 5: Solve for x
   x = 38,711,743,009/89,669
6. Step 6: Final answer
   x = 431,718.24