Finding the Third Proportional to 166.59 and 243.47

Step by Step Solution

1. Step 1: Write the proportion equation
   166.59 : 243.47 = 243.47 : x
2. Step 2: Convert to fraction form
   166.59/243.47 = 243.47/x
3. Step 3: Cross multiply
   166.59x = 243.47 × 243.47
4. Step 4: Simplify right side
   166.59x = 59,279.89
5. Step 5: Solve for x
   x = 59,279.89/166.59
6. Step 6: Final answer
   x = 355.85