Finding the Third Proportional to 218,722 and 470,006

Step by Step Solution

1. Step 1: Write the proportion equation
   218,722 : 470,006 = 470,006 : x
2. Step 2: Convert to fraction form
   218,722/470,006 = 470,006/x
3. Step 3: Cross multiply
   218,722x = 470,006 × 470,006
4. Step 4: Simplify right side
   218,722x = 220,905,640,036
5. Step 5: Solve for x
   x = 220,905,640,036/218,722
6. Step 6: Final answer
   x = 1,009,983.63