Finding the Third Proportional to 80,786.25 and 165,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,786.25 : 165,490.50 = 165,490.50 : x
2. Step 2: Convert to fraction form
   80,786.25/165,490.50 = 165,490.50/x
3. Step 3: Cross multiply
   80,786.25x = 165,490.50 × 165,490.50
4. Step 4: Simplify right side
   80,786.25x = 27,387,105,590.25
5. Step 5: Solve for x
   x = 27,387,105,590.25/80,786.25
6. Step 6: Final answer
   x = 339,007.02