Finding the Third Proportional to 80,786 and 165,490

Step by Step Solution

1. Step 1: Write the proportion equation
   80,786 : 165,490 = 165,490 : x
2. Step 2: Convert to fraction form
   80,786/165,490 = 165,490/x
3. Step 3: Cross multiply
   80,786x = 165,490 × 165,490
4. Step 4: Simplify right side
   80,786x = 27,386,940,100
5. Step 5: Solve for x
   x = 27,386,940,100/80,786
6. Step 6: Final answer
   x = 339,006.02