Finding the Third Proportional to 89,678 and 196,768

Step by Step Solution

1. Step 1: Write the proportion equation
   89,678 : 196,768 = 196,768 : x
2. Step 2: Convert to fraction form
   89,678/196,768 = 196,768/x
3. Step 3: Cross multiply
   89,678x = 196,768 × 196,768
4. Step 4: Simplify right side
   89,678x = 38,717,645,824
5. Step 5: Solve for x
   x = 38,717,645,824/89,678
6. Step 6: Final answer
   x = 431,740.74