Finding the Third Proportional to 89,919 and 192,960

Step by Step Solution

1. Step 1: Write the proportion equation
   89,919 : 192,960 = 192,960 : x
2. Step 2: Convert to fraction form
   89,919/192,960 = 192,960/x
3. Step 3: Cross multiply
   89,919x = 192,960 × 192,960
4. Step 4: Simplify right side
   89,919x = 37,233,561,600
5. Step 5: Solve for x
   x = 37,233,561,600/89,919
6. Step 6: Final answer
   x = 414,078.91