Finding the Third Proportional to 214,398 and 470,268

Step by Step Solution

1. Step 1: Write the proportion equation
   214,398 : 470,268 = 470,268 : x
2. Step 2: Convert to fraction form
   214,398/470,268 = 470,268/x
3. Step 3: Cross multiply
   214,398x = 470,268 × 470,268
4. Step 4: Simplify right side
   214,398x = 221,151,991,824
5. Step 5: Solve for x
   x = 221,151,991,824/214,398
6. Step 6: Final answer
   x = 1,031,502.12