Finding the Third Proportional to 320,836 and 697,096

Step by Step Solution

1. Step 1: Write the proportion equation
   320,836 : 697,096 = 697,096 : x
2. Step 2: Convert to fraction form
   320,836/697,096 = 697,096/x
3. Step 3: Cross multiply
   320,836x = 697,096 × 697,096
4. Step 4: Simplify right side
   320,836x = 485,942,833,216
5. Step 5: Solve for x
   x = 485,942,833,216/320,836
6. Step 6: Final answer
   x = 1,514,614.42