Finding the Third Proportional to 80,928 and 165,864

Step by Step Solution

1. Step 1: Write the proportion equation
   80,928 : 165,864 = 165,864 : x
2. Step 2: Convert to fraction form
   80,928/165,864 = 165,864/x
3. Step 3: Cross multiply
   80,928x = 165,864 × 165,864
4. Step 4: Simplify right side
   80,928x = 27,510,866,496
5. Step 5: Solve for x
   x = 27,510,866,496/80,928
6. Step 6: Final answer
   x = 339,942.50