Finding the Third Proportional to 80,796 and 165,616

Step by Step Solution

1. Step 1: Write the proportion equation
   80,796 : 165,616 = 165,616 : x
2. Step 2: Convert to fraction form
   80,796/165,616 = 165,616/x
3. Step 3: Cross multiply
   80,796x = 165,616 × 165,616
4. Step 4: Simplify right side
   80,796x = 27,428,659,456
5. Step 5: Solve for x
   x = 27,428,659,456/80,796
6. Step 6: Final answer
   x = 339,480.41