Finding the Third Proportional to 80,789 and 165,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,789 : 165,495.50 = 165,495.50 : x
2. Step 2: Convert to fraction form
   80,789/165,495.50 = 165,495.50/x
3. Step 3: Cross multiply
   80,789x = 165,495.50 × 165,495.50
4. Step 4: Simplify right side
   80,789x = 27,388,760,520.25
5. Step 5: Solve for x
   x = 27,388,760,520.25/80,789
6. Step 6: Final answer
   x = 339,015.96