Finding the Third Proportional to 83,455 and 181,067

Step by Step Solution

1. Step 1: Write the proportion equation
   83,455 : 181,067 = 181,067 : x
2. Step 2: Convert to fraction form
   83,455/181,067 = 181,067/x
3. Step 3: Cross multiply
   83,455x = 181,067 × 181,067
4. Step 4: Simplify right side
   83,455x = 32,785,258,489
5. Step 5: Solve for x
   x = 32,785,258,489/83,455
6. Step 6: Final answer
   x = 392,849.54