Finding the Third Proportional to 216,366 and 470,832

Step by Step Solution

1. Step 1: Write the proportion equation
   216,366 : 470,832 = 470,832 : x
2. Step 2: Convert to fraction form
   216,366/470,832 = 470,832/x
3. Step 3: Cross multiply
   216,366x = 470,832 × 470,832
4. Step 4: Simplify right side
   216,366x = 221,682,772,224
5. Step 5: Solve for x
   x = 221,682,772,224/216,366
6. Step 6: Final answer
   x = 1,024,573.05