Finding the Third Proportional to 321,625.50 and 685,965

Step by Step Solution

1. Step 1: Write the proportion equation
   321,625.50 : 685,965 = 685,965 : x
2. Step 2: Convert to fraction form
   321,625.50/685,965 = 685,965/x
3. Step 3: Cross multiply
   321,625.50x = 685,965 × 685,965
4. Step 4: Simplify right side
   321,625.50x = 470,547,981,225
5. Step 5: Solve for x
   x = 470,547,981,225/321,625.50
6. Step 6: Final answer
   x = 1,463,030.70