Finding the Third Proportional to 80,780 and 165,590

Step by Step Solution

1. Step 1: Write the proportion equation
   80,780 : 165,590 = 165,590 : x
2. Step 2: Convert to fraction form
   80,780/165,590 = 165,590/x
3. Step 3: Cross multiply
   80,780x = 165,590 × 165,590
4. Step 4: Simplify right side
   80,780x = 27,420,048,100
5. Step 5: Solve for x
   x = 27,420,048,100/80,780
6. Step 6: Final answer
   x = 339,441.05