Finding the Third Proportional to 146,052 and 299,016

Step by Step Solution

1. Step 1: Write the proportion equation
   146,052 : 299,016 = 299,016 : x
2. Step 2: Convert to fraction form
   146,052/299,016 = 299,016/x
3. Step 3: Cross multiply
   146,052x = 299,016 × 299,016
4. Step 4: Simplify right side
   146,052x = 89,410,568,256
5. Step 5: Solve for x
   x = 89,410,568,256/146,052
6. Step 6: Final answer
   x = 612,183.11