Finding the Third Proportional to 322,686 and 701,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,686 : 701,329.50 = 701,329.50 : x
2. Step 2: Convert to fraction form
   322,686/701,329.50 = 701,329.50/x
3. Step 3: Cross multiply
   322,686x = 701,329.50 × 701,329.50
4. Step 4: Simplify right side
   322,686x = 491,863,067,570.25
5. Step 5: Solve for x
   x = 491,863,067,570.25/322,686
6. Step 6: Final answer
   x = 1,524,277.68