Finding the Third Proportional to 227,571 and 327,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,571 : 327,796.50 = 327,796.50 : x
2. Step 2: Convert to fraction form
   227,571/327,796.50 = 327,796.50/x
3. Step 3: Cross multiply
   227,571x = 327,796.50 × 327,796.50
4. Step 4: Simplify right side
   227,571x = 107,450,545,412.25
5. Step 5: Solve for x
   x = 107,450,545,412.25/227,571
6. Step 6: Final answer
   x = 472,162.73