Finding the Third Proportional to 227,628 and 327,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,628 : 327,883.50 = 327,883.50 : x
2. Step 2: Convert to fraction form
   227,628/327,883.50 = 327,883.50/x
3. Step 3: Cross multiply
   227,628x = 327,883.50 × 327,883.50
4. Step 4: Simplify right side
   227,628x = 107,507,589,572.25
5. Step 5: Solve for x
   x = 107,507,589,572.25/227,628
6. Step 6: Final answer
   x = 472,295.10