Finding the Third Proportional to 80,770 and 165,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,770 : 165,570.50 = 165,570.50 : x
2. Step 2: Convert to fraction form
   80,770/165,570.50 = 165,570.50/x
3. Step 3: Cross multiply
   80,770x = 165,570.50 × 165,570.50
4. Step 4: Simplify right side
   80,770x = 27,413,590,470.25
5. Step 5: Solve for x
   x = 27,413,590,470.25/80,770
6. Step 6: Final answer
   x = 339,403.13