Finding the Third Proportional to 91,081 and 186,698

Step by Step Solution

1. Step 1: Write the proportion equation
   91,081 : 186,698 = 186,698 : x
2. Step 2: Convert to fraction form
   91,081/186,698 = 186,698/x
3. Step 3: Cross multiply
   91,081x = 186,698 × 186,698
4. Step 4: Simplify right side
   91,081x = 34,856,143,204
5. Step 5: Solve for x
   x = 34,856,143,204/91,081
6. Step 6: Final answer
   x = 382,693.90