Finding the Third Proportional to 686,907 and 1,478,790

Step by Step Solution

1. Step 1: Write the proportion equation
   686,907 : 1,478,790 = 1,478,790 : x
2. Step 2: Convert to fraction form
   686,907/1,478,790 = 1,478,790/x
3. Step 3: Cross multiply
   686,907x = 1,478,790 × 1,478,790
4. Step 4: Simplify right side
   686,907x = 2,186,819,864,100
5. Step 5: Solve for x
   x = 2,186,819,864,100/686,907
6. Step 6: Final answer
   x = 3,183,574.87