Finding the Third Proportional to 80,880 and 165,648

Step by Step Solution

1. Step 1: Write the proportion equation
   80,880 : 165,648 = 165,648 : x
2. Step 2: Convert to fraction form
   80,880/165,648 = 165,648/x
3. Step 3: Cross multiply
   80,880x = 165,648 × 165,648
4. Step 4: Simplify right side
   80,880x = 27,439,259,904
5. Step 5: Solve for x
   x = 27,439,259,904/80,880
6. Step 6: Final answer
   x = 339,258.90