Finding the Third Proportional to 103,806 and 227,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,806 : 227,416.50 = 227,416.50 : x
2. Step 2: Convert to fraction form
   103,806/227,416.50 = 227,416.50/x
3. Step 3: Cross multiply
   103,806x = 227,416.50 × 227,416.50
4. Step 4: Simplify right side
   103,806x = 51,718,264,472.25
5. Step 5: Solve for x
   x = 51,718,264,472.25/103,806
6. Step 6: Final answer
   x = 498,220.38