Finding the Third Proportional to 109,661 and 227,098

Step by Step Solution

1. Step 1: Write the proportion equation
   109,661 : 227,098 = 227,098 : x
2. Step 2: Convert to fraction form
   109,661/227,098 = 227,098/x
3. Step 3: Cross multiply
   109,661x = 227,098 × 227,098
4. Step 4: Simplify right side
   109,661x = 51,573,501,604
5. Step 5: Solve for x
   x = 51,573,501,604/109,661
6. Step 6: Final answer
   x = 470,299.39