Finding the Third Proportional to 219,028 and 470,774

Step by Step Solution

1. Step 1: Write the proportion equation
   219,028 : 470,774 = 470,774 : x
2. Step 2: Convert to fraction form
   219,028/470,774 = 470,774/x
3. Step 3: Cross multiply
   219,028x = 470,774 × 470,774
4. Step 4: Simplify right side
   219,028x = 221,628,159,076
5. Step 5: Solve for x
   x = 221,628,159,076/219,028
6. Step 6: Final answer
   x = 1,011,871.35