Finding the Third Proportional to 219,820 and 470,744

Step by Step Solution

1. Step 1: Write the proportion equation
   219,820 : 470,744 = 470,744 : x
2. Step 2: Convert to fraction form
   219,820/470,744 = 470,744/x
3. Step 3: Cross multiply
   219,820x = 470,744 × 470,744
4. Step 4: Simplify right side
   219,820x = 221,599,913,536
5. Step 5: Solve for x
   x = 221,599,913,536/219,820
6. Step 6: Final answer
   x = 1,008,097.14