Finding the Third Proportional to 214,662 and 470,796

Step by Step Solution

1. Step 1: Write the proportion equation
   214,662 : 470,796 = 470,796 : x
2. Step 2: Convert to fraction form
   214,662/470,796 = 470,796/x
3. Step 3: Cross multiply
   214,662x = 470,796 × 470,796
4. Step 4: Simplify right side
   214,662x = 221,648,873,616
5. Step 5: Solve for x
   x = 221,648,873,616/214,662
6. Step 6: Final answer
   x = 1,032,548.26