Finding the Third Proportional to 314,320 and 678,860

Step by Step Solution

1. Step 1: Write the proportion equation
   314,320 : 678,860 = 678,860 : x
2. Step 2: Convert to fraction form
   314,320/678,860 = 678,860/x
3. Step 3: Cross multiply
   314,320x = 678,860 × 678,860
4. Step 4: Simplify right side
   314,320x = 460,850,899,600
5. Step 5: Solve for x
   x = 460,850,899,600/314,320
6. Step 6: Final answer
   x = 1,466,183.82