Finding the Third Proportional to 42,856 and 94,016

Step by Step Solution

1. Step 1: Write the proportion equation
   42,856 : 94,016 = 94,016 : x
2. Step 2: Convert to fraction form
   42,856/94,016 = 94,016/x
3. Step 3: Cross multiply
   42,856x = 94,016 × 94,016
4. Step 4: Simplify right side
   42,856x = 8,839,008,256
5. Step 5: Solve for x
   x = 8,839,008,256/42,856
6. Step 6: Final answer
   x = 206,249.03