Finding the Third Proportional to 219,940 and 470,984

Step by Step Solution

1. Step 1: Write the proportion equation
   219,940 : 470,984 = 470,984 : x
2. Step 2: Convert to fraction form
   219,940/470,984 = 470,984/x
3. Step 3: Cross multiply
   219,940x = 470,984 × 470,984
4. Step 4: Simplify right side
   219,940x = 221,825,928,256
5. Step 5: Solve for x
   x = 221,825,928,256/219,940
6. Step 6: Final answer
   x = 1,008,574.74