Finding the Third Proportional to 106,398 and 227,016

Step by Step Solution

1. Step 1: Write the proportion equation
   106,398 : 227,016 = 227,016 : x
2. Step 2: Convert to fraction form
   106,398/227,016 = 227,016/x
3. Step 3: Cross multiply
   106,398x = 227,016 × 227,016
4. Step 4: Simplify right side
   106,398x = 51,536,264,256
5. Step 5: Solve for x
   x = 51,536,264,256/106,398
6. Step 6: Final answer
   x = 484,372.49