Finding the Third Proportional to 322,158 and 685,786

Step by Step Solution

1. Step 1: Write the proportion equation
   322,158 : 685,786 = 685,786 : x
2. Step 2: Convert to fraction form
   322,158/685,786 = 685,786/x
3. Step 3: Cross multiply
   322,158x = 685,786 × 685,786
4. Step 4: Simplify right side
   322,158x = 470,302,437,796
5. Step 5: Solve for x
   x = 470,302,437,796/322,158
6. Step 6: Final answer
   x = 1,459,850.25