Finding the Third Proportional to 314,626 and 684,540

Step by Step Solution

1. Step 1: Write the proportion equation
   314,626 : 684,540 = 684,540 : x
2. Step 2: Convert to fraction form
   314,626/684,540 = 684,540/x
3. Step 3: Cross multiply
   314,626x = 684,540 × 684,540
4. Step 4: Simplify right side
   314,626x = 468,595,011,600
5. Step 5: Solve for x
   x = 468,595,011,600/314,626
6. Step 6: Final answer
   x = 1,489,371.54