Finding the Third Proportional to 86.57 and 186.73

Step by Step Solution

1. Step 1: Write the proportion equation
   86.57 : 186.73 = 186.73 : x
2. Step 2: Convert to fraction form
   86.57/186.73 = 186.73/x
3. Step 3: Cross multiply
   86.57x = 186.73 × 186.73
4. Step 4: Simplify right side
   86.57x = 34,869.00
5. Step 5: Solve for x
   x = 34,869.00/86.57
6. Step 6: Final answer
   x = 402.77