Finding the Third Proportional to 123,782 and 193,067

Step by Step Solution

1. Step 1: Write the proportion equation
   123,782 : 193,067 = 193,067 : x
2. Step 2: Convert to fraction form
   123,782/193,067 = 193,067/x
3. Step 3: Cross multiply
   123,782x = 193,067 × 193,067
4. Step 4: Simplify right side
   123,782x = 37,274,866,489
5. Step 5: Solve for x
   x = 37,274,866,489/123,782
6. Step 6: Final answer
   x = 301,133.17