Finding the Third Proportional to 140,568 and 301,224

Step by Step Solution

1. Step 1: Write the proportion equation
   140,568 : 301,224 = 301,224 : x
2. Step 2: Convert to fraction form
   140,568/301,224 = 301,224/x
3. Step 3: Cross multiply
   140,568x = 301,224 × 301,224
4. Step 4: Simplify right side
   140,568x = 90,735,898,176
5. Step 5: Solve for x
   x = 90,735,898,176/140,568
6. Step 6: Final answer
   x = 645,494.69