Finding the Third Proportional to 89.63 and 166.31

Step by Step Solution

1. Step 1: Write the proportion equation
   89.63 : 166.31 = 166.31 : x
2. Step 2: Convert to fraction form
   89.63/166.31 = 166.31/x
3. Step 3: Cross multiply
   89.63x = 166.31 × 166.31
4. Step 4: Simplify right side
   89.63x = 27,659.85
5. Step 5: Solve for x
   x = 27,659.85/89.63
6. Step 6: Final answer
   x = 308.62