Finding the Third Proportional to 71.19 and 166.59

Step by Step Solution

1. Step 1: Write the proportion equation
   71.19 : 166.59 = 166.59 : x
2. Step 2: Convert to fraction form
   71.19/166.59 = 166.59/x
3. Step 3: Cross multiply
   71.19x = 166.59 × 166.59
4. Step 4: Simplify right side
   71.19x = 27,751.53
5. Step 5: Solve for x
   x = 27,751.53/71.19
6. Step 6: Final answer
   x = 389.82