Finding the Third Proportional to 318,096 and 686,012

Step by Step Solution

1. Step 1: Write the proportion equation
   318,096 : 686,012 = 686,012 : x
2. Step 2: Convert to fraction form
   318,096/686,012 = 686,012/x
3. Step 3: Cross multiply
   318,096x = 686,012 × 686,012
4. Step 4: Simplify right side
   318,096x = 470,612,464,144
5. Step 5: Solve for x
   x = 470,612,464,144/318,096
6. Step 6: Final answer
   x = 1,479,466.78