Finding the Third Proportional to 682,416 and 1,468,512

Step by Step Solution

1. Step 1: Write the proportion equation
   682,416 : 1,468,512 = 1,468,512 : x
2. Step 2: Convert to fraction form
   682,416/1,468,512 = 1,468,512/x
3. Step 3: Cross multiply
   682,416x = 1,468,512 × 1,468,512
4. Step 4: Simplify right side
   682,416x = 2,156,527,494,144
5. Step 5: Solve for x
   x = 2,156,527,494,144/682,416
6. Step 6: Final answer
   x = 3,160,136.18