Finding the Third Proportional to 227,685 and 327,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,685 : 327,946.50 = 327,946.50 : x
2. Step 2: Convert to fraction form
   227,685/327,946.50 = 327,946.50/x
3. Step 3: Cross multiply
   227,685x = 327,946.50 × 327,946.50
4. Step 4: Simplify right side
   227,685x = 107,548,906,862.25
5. Step 5: Solve for x
   x = 107,548,906,862.25/227,685
6. Step 6: Final answer
   x = 472,358.33