Finding the Third Proportional to 128,849 and 196,605

Step by Step Solution

1. Step 1: Write the proportion equation
   128,849 : 196,605 = 196,605 : x
2. Step 2: Convert to fraction form
   128,849/196,605 = 196,605/x
3. Step 3: Cross multiply
   128,849x = 196,605 × 196,605
4. Step 4: Simplify right side
   128,849x = 38,653,526,025
5. Step 5: Solve for x
   x = 38,653,526,025/128,849
6. Step 6: Final answer
   x = 299,990.89