Finding the Third Proportional to 42,782 and 103,067

Step by Step Solution

1. Step 1: Write the proportion equation
   42,782 : 103,067 = 103,067 : x
2. Step 2: Convert to fraction form
   42,782/103,067 = 103,067/x
3. Step 3: Cross multiply
   42,782x = 103,067 × 103,067
4. Step 4: Simplify right side
   42,782x = 10,622,806,489
5. Step 5: Solve for x
   x = 10,622,806,489/42,782
6. Step 6: Final answer
   x = 248,300.84