Finding the Third Proportional to 216,978 and 470,042

Step by Step Solution

1. Step 1: Write the proportion equation
   216,978 : 470,042 = 470,042 : x
2. Step 2: Convert to fraction form
   216,978/470,042 = 470,042/x
3. Step 3: Cross multiply
   216,978x = 470,042 × 470,042
4. Step 4: Simplify right side
   216,978x = 220,939,481,764
5. Step 5: Solve for x
   x = 220,939,481,764/216,978
6. Step 6: Final answer
   x = 1,018,257.53