Finding the Third Proportional to 227,634 and 327,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,634 : 327,892.50 = 327,892.50 : x
2. Step 2: Convert to fraction form
   227,634/327,892.50 = 327,892.50/x
3. Step 3: Cross multiply
   227,634x = 327,892.50 × 327,892.50
4. Step 4: Simplify right side
   227,634x = 107,513,491,556.25
5. Step 5: Solve for x
   x = 107,513,491,556.25/227,634
6. Step 6: Final answer
   x = 472,308.58