Finding the Third Proportional to 109,674 and 227,964.38

Step by Step Solution

1. Step 1: Write the proportion equation
   109,674 : 227,964.38 = 227,964.38 : x
2. Step 2: Convert to fraction form
   109,674/227,964.38 = 227,964.38/x
3. Step 3: Cross multiply
   109,674x = 227,964.38 × 227,964.38
4. Step 4: Simplify right side
   109,674x = 51,967,756,269.14
5. Step 5: Solve for x
   x = 51,967,756,269.14/109,674
6. Step 6: Final answer
   x = 473,838.43