Finding the Third Proportional to 86,568 and 186,096

Step by Step Solution

1. Step 1: Write the proportion equation
   86,568 : 186,096 = 186,096 : x
2. Step 2: Convert to fraction form
   86,568/186,096 = 186,096/x
3. Step 3: Cross multiply
   86,568x = 186,096 × 186,096
4. Step 4: Simplify right side
   86,568x = 34,631,721,216
5. Step 5: Solve for x
   x = 34,631,721,216/86,568
6. Step 6: Final answer
   x = 400,052.23