Finding the Third Proportional to 219,048 and 470,854

Step by Step Solution

1. Step 1: Write the proportion equation
   219,048 : 470,854 = 470,854 : x
2. Step 2: Convert to fraction form
   219,048/470,854 = 470,854/x
3. Step 3: Cross multiply
   219,048x = 470,854 × 470,854
4. Step 4: Simplify right side
   219,048x = 221,703,489,316
5. Step 5: Solve for x
   x = 221,703,489,316/219,048
6. Step 6: Final answer
   x = 1,012,122.86