Finding the Third Proportional to 42,846 and 91,686

Step by Step Solution

1. Step 1: Write the proportion equation
   42,846 : 91,686 = 91,686 : x
2. Step 2: Convert to fraction form
   42,846/91,686 = 91,686/x
3. Step 3: Cross multiply
   42,846x = 91,686 × 91,686
4. Step 4: Simplify right side
   42,846x = 8,406,322,596
5. Step 5: Solve for x
   x = 8,406,322,596/42,846
6. Step 6: Final answer
   x = 196,198.54