Finding the Third Proportional to 227,619 and 327,870

Step by Step Solution

1. Step 1: Write the proportion equation
   227,619 : 327,870 = 327,870 : x
2. Step 2: Convert to fraction form
   227,619/327,870 = 327,870/x
3. Step 3: Cross multiply
   227,619x = 327,870 × 327,870
4. Step 4: Simplify right side
   227,619x = 107,498,736,900
5. Step 5: Solve for x
   x = 107,498,736,900/227,619
6. Step 6: Final answer
   x = 472,274.88