Finding the Third Proportional to 81,842 and 123,067

Step by Step Solution

1. Step 1: Write the proportion equation
   81,842 : 123,067 = 123,067 : x
2. Step 2: Convert to fraction form
   81,842/123,067 = 123,067/x
3. Step 3: Cross multiply
   81,842x = 123,067 × 123,067
4. Step 4: Simplify right side
   81,842x = 15,145,486,489
5. Step 5: Solve for x
   x = 15,145,486,489/81,842
6. Step 6: Final answer
   x = 185,057.63