Finding the Third Proportional to 219,024 and 470,772

Step by Step Solution

1. Step 1: Write the proportion equation
   219,024 : 470,772 = 470,772 : x
2. Step 2: Convert to fraction form
   219,024/470,772 = 470,772/x
3. Step 3: Cross multiply
   219,024x = 470,772 × 470,772
4. Step 4: Simplify right side
   219,024x = 221,626,275,984
5. Step 5: Solve for x
   x = 221,626,275,984/219,024
6. Step 6: Final answer
   x = 1,011,881.24