Finding the Third Proportional to 86.34 and 186.61

Step by Step Solution

1. Step 1: Write the proportion equation
   86.34 : 186.61 = 186.61 : x
2. Step 2: Convert to fraction form
   86.34/186.61 = 186.61/x
3. Step 3: Cross multiply
   86.34x = 186.61 × 186.61
4. Step 4: Simplify right side
   86.34x = 34,823.06
5. Step 5: Solve for x
   x = 34,823.06/86.34
6. Step 6: Final answer
   x = 403.31