Finding the Third Proportional to 109,649 and 227,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,649 : 227,916.50 = 227,916.50 : x
2. Step 2: Convert to fraction form
   109,649/227,916.50 = 227,916.50/x
3. Step 3: Cross multiply
   109,649x = 227,916.50 × 227,916.50
4. Step 4: Simplify right side
   109,649x = 51,945,930,972.25
5. Step 5: Solve for x
   x = 51,945,930,972.25/109,649
6. Step 6: Final answer
   x = 473,747.42