Finding the Third Proportional to 323,136 and 685,696

Step by Step Solution

1. Step 1: Write the proportion equation
   323,136 : 685,696 = 685,696 : x
2. Step 2: Convert to fraction form
   323,136/685,696 = 685,696/x
3. Step 3: Cross multiply
   323,136x = 685,696 × 685,696
4. Step 4: Simplify right side
   323,136x = 470,179,004,416
5. Step 5: Solve for x
   x = 470,179,004,416/323,136
6. Step 6: Final answer
   x = 1,455,049.90