Finding the Third Proportional to 103,954.50 and 227,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,954.50 : 227,796.50 = 227,796.50 : x
2. Step 2: Convert to fraction form
   103,954.50/227,796.50 = 227,796.50/x
3. Step 3: Cross multiply
   103,954.50x = 227,796.50 × 227,796.50
4. Step 4: Simplify right side
   103,954.50x = 51,891,245,412.25
5. Step 5: Solve for x
   x = 51,891,245,412.25/103,954.50
6. Step 6: Final answer
   x = 499,172.67