Finding the Third Proportional to 216,362 and 470,822

Step by Step Solution

1. Step 1: Write the proportion equation
   216,362 : 470,822 = 470,822 : x
2. Step 2: Convert to fraction form
   216,362/470,822 = 470,822/x
3. Step 3: Cross multiply
   216,362x = 470,822 × 470,822
4. Step 4: Simplify right side
   216,362x = 221,673,355,684
5. Step 5: Solve for x
   x = 221,673,355,684/216,362
6. Step 6: Final answer
   x = 1,024,548.47