Finding the Third Proportional to 321,567.50 and 685,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,567.50 : 685,851.50 = 685,851.50 : x
2. Step 2: Convert to fraction form
   321,567.50/685,851.50 = 685,851.50/x
3. Step 3: Cross multiply
   321,567.50x = 685,851.50 × 685,851.50
4. Step 4: Simplify right side
   321,567.50x = 470,392,280,052.25
5. Step 5: Solve for x
   x = 470,392,280,052.25/321,567.50
6. Step 6: Final answer
   x = 1,462,810.39