Finding the Third Proportional to 219,936 and 470,976

Step by Step Solution

1. Step 1: Write the proportion equation
   219,936 : 470,976 = 470,976 : x
2. Step 2: Convert to fraction form
   219,936/470,976 = 470,976/x
3. Step 3: Cross multiply
   219,936x = 470,976 × 470,976
4. Step 4: Simplify right side
   219,936x = 221,818,392,576
5. Step 5: Solve for x
   x = 221,818,392,576/219,936
6. Step 6: Final answer
   x = 1,008,558.82