Finding the Third Proportional to 109,197 and 227,736

Step by Step Solution

1. Step 1: Write the proportion equation
   109,197 : 227,736 = 227,736 : x
2. Step 2: Convert to fraction form
   109,197/227,736 = 227,736/x
3. Step 3: Cross multiply
   109,197x = 227,736 × 227,736
4. Step 4: Simplify right side
   109,197x = 51,863,685,696
5. Step 5: Solve for x
   x = 51,863,685,696/109,197
6. Step 6: Final answer
   x = 474,955.22