Finding the Third Proportional to 152,272 and 227,568

Step by Step Solution

1. Step 1: Write the proportion equation
   152,272 : 227,568 = 227,568 : x
2. Step 2: Convert to fraction form
   152,272/227,568 = 227,568/x
3. Step 3: Cross multiply
   152,272x = 227,568 × 227,568
4. Step 4: Simplify right side
   152,272x = 51,787,194,624
5. Step 5: Solve for x
   x = 51,787,194,624/152,272
6. Step 6: Final answer
   x = 340,096.63