Finding the Third Proportional to 80,934 and 165,078

Step by Step Solution

1. Step 1: Write the proportion equation
   80,934 : 165,078 = 165,078 : x
2. Step 2: Convert to fraction form
   80,934/165,078 = 165,078/x
3. Step 3: Cross multiply
   80,934x = 165,078 × 165,078
4. Step 4: Simplify right side
   80,934x = 27,250,746,084
5. Step 5: Solve for x
   x = 27,250,746,084/80,934
6. Step 6: Final answer
   x = 336,703.31