Finding the Third Proportional to 104.06 and 166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   104.06 : 166.50 = 166.50 : x
2. Step 2: Convert to fraction form
   104.06/166.50 = 166.50/x
3. Step 3: Cross multiply
   104.06x = 166.50 × 166.50
4. Step 4: Simplify right side
   104.06x = 27,722.25
5. Step 5: Solve for x
   x = 27,722.25/104.06
6. Step 6: Final answer
   x = 266.40