Finding the Third Proportional to 219,014 and 470,746

Step by Step Solution

1. Step 1: Write the proportion equation
   219,014 : 470,746 = 470,746 : x
2. Step 2: Convert to fraction form
   219,014/470,746 = 470,746/x
3. Step 3: Cross multiply
   219,014x = 470,746 × 470,746
4. Step 4: Simplify right side
   219,014x = 221,601,796,516
5. Step 5: Solve for x
   x = 221,601,796,516/219,014
6. Step 6: Final answer
   x = 1,011,815.67