Finding the Third Proportional to 470,033,664 and 978,216,636

Step by Step Solution

1. Step 1: Write the proportion equation
   470,033,664 : 978,216,636 = 978,216,636 : x
2. Step 2: Convert to fraction form
   470,033,664/978,216,636 = 978,216,636/x
3. Step 3: Cross multiply
   470,033,664x = 978,216,636 × 978,216,636
4. Step 4: Simplify right side
   470,033,664x = 956,907,786,947,156,480
5. Step 5: Solve for x
   x = 956,907,786,947,156,480/470,033,664
6. Step 6: Final answer
   x = 2,035,828,197.50