Finding the Third Proportional to 216,344 and 470,004

Step by Step Solution

1. Step 1: Write the proportion equation
   216,344 : 470,004 = 470,004 : x
2. Step 2: Convert to fraction form
   216,344/470,004 = 470,004/x
3. Step 3: Cross multiply
   216,344x = 470,004 × 470,004
4. Step 4: Simplify right side
   216,344x = 220,903,760,016
5. Step 5: Solve for x
   x = 220,903,760,016/216,344
6. Step 6: Final answer
   x = 1,021,076.43