Finding the Third Proportional to 86.81 and 186.56

Step by Step Solution

1. Step 1: Write the proportion equation
   86.81 : 186.56 = 186.56 : x
2. Step 2: Convert to fraction form
   86.81/186.56 = 186.56/x
3. Step 3: Cross multiply
   86.81x = 186.56 × 186.56
4. Step 4: Simplify right side
   86.81x = 34,805.57
5. Step 5: Solve for x
   x = 34,805.57/86.81
6. Step 6: Final answer
   x = 400.93