Finding the Third Proportional to 42,686 and 91,692

Step by Step Solution

1. Step 1: Write the proportion equation
   42,686 : 91,692 = 91,692 : x
2. Step 2: Convert to fraction form
   42,686/91,692 = 91,692/x
3. Step 3: Cross multiply
   42,686x = 91,692 × 91,692
4. Step 4: Simplify right side
   42,686x = 8,407,422,864
5. Step 5: Solve for x
   x = 8,407,422,864/42,686
6. Step 6: Final answer
   x = 196,959.73