Finding the Third Proportional to 329,193 and 769,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   329,193 : 769,198.50 = 769,198.50 : x
2. Step 2: Convert to fraction form
   329,193/769,198.50 = 769,198.50/x
3. Step 3: Cross multiply
   329,193x = 769,198.50 × 769,198.50
4. Step 4: Simplify right side
   329,193x = 591,666,332,402.25
5. Step 5: Solve for x
   x = 591,666,332,402.25/329,193
6. Step 6: Final answer
   x = 1,797,323.55