Finding the Third Proportional to 80,785 and 165,488

Step by Step Solution

1. Step 1: Write the proportion equation
   80,785 : 165,488 = 165,488 : x
2. Step 2: Convert to fraction form
   80,785/165,488 = 165,488/x
3. Step 3: Cross multiply
   80,785x = 165,488 × 165,488
4. Step 4: Simplify right side
   80,785x = 27,386,278,144
5. Step 5: Solve for x
   x = 27,386,278,144/80,785
6. Step 6: Final answer
   x = 339,002.02