Finding the Third Proportional to 216,002 and 470,740

Step by Step Solution

1. Step 1: Write the proportion equation
   216,002 : 470,740 = 470,740 : x
2. Step 2: Convert to fraction form
   216,002/470,740 = 470,740/x
3. Step 3: Cross multiply
   216,002x = 470,740 × 470,740
4. Step 4: Simplify right side
   216,002x = 221,596,147,600
5. Step 5: Solve for x
   x = 221,596,147,600/216,002
6. Step 6: Final answer
   x = 1,025,898.59