Finding the Third Proportional to 80,884 and 165,656

Step by Step Solution

1. Step 1: Write the proportion equation
   80,884 : 165,656 = 165,656 : x
2. Step 2: Convert to fraction form
   80,884/165,656 = 165,656/x
3. Step 3: Cross multiply
   80,884x = 165,656 × 165,656
4. Step 4: Simplify right side
   80,884x = 27,441,910,336
5. Step 5: Solve for x
   x = 27,441,910,336/80,884
6. Step 6: Final answer
   x = 339,274.89