Finding the Third Proportional to 103,736 and 227,007

Step by Step Solution

1. Step 1: Write the proportion equation
   103,736 : 227,007 = 227,007 : x
2. Step 2: Convert to fraction form
   103,736/227,007 = 227,007/x
3. Step 3: Cross multiply
   103,736x = 227,007 × 227,007
4. Step 4: Simplify right side
   103,736x = 51,532,178,049
5. Step 5: Solve for x
   x = 51,532,178,049/103,736
6. Step 6: Final answer
   x = 496,762.73