Finding the Third Proportional to 321,723.50 and 686,196

Step by Step Solution

1. Step 1: Write the proportion equation
   321,723.50 : 686,196 = 686,196 : x
2. Step 2: Convert to fraction form
   321,723.50/686,196 = 686,196/x
3. Step 3: Cross multiply
   321,723.50x = 686,196 × 686,196
4. Step 4: Simplify right side
   321,723.50x = 470,864,950,416
5. Step 5: Solve for x
   x = 470,864,950,416/321,723.50
6. Step 6: Final answer
   x = 1,463,570.27