Finding the Third Proportional to 321,646.50 and 686,045.25

Step by Step Solution

1. Step 1: Write the proportion equation
   321,646.50 : 686,045.25 = 686,045.25 : x
2. Step 2: Convert to fraction form
   321,646.50/686,045.25 = 686,045.25/x
3. Step 3: Cross multiply
   321,646.50x = 686,045.25 × 686,045.25
4. Step 4: Simplify right side
   321,646.50x = 470,658,085,047.56
5. Step 5: Solve for x
   x = 470,658,085,047.56/321,646.50
6. Step 6: Final answer
   x = 1,463,277.50