Finding the Third Proportional to 106,041 and 227,262

Step by Step Solution

1. Step 1: Write the proportion equation
   106,041 : 227,262 = 227,262 : x
2. Step 2: Convert to fraction form
   106,041/227,262 = 227,262/x
3. Step 3: Cross multiply
   106,041x = 227,262 × 227,262
4. Step 4: Simplify right side
   106,041x = 51,648,016,644
5. Step 5: Solve for x
   x = 51,648,016,644/106,041
6. Step 6: Final answer
   x = 487,057.05