Finding the Third Proportional to 166.75 and 341.38

Step by Step Solution

1. Step 1: Write the proportion equation
   166.75 : 341.38 = 341.38 : x
2. Step 2: Convert to fraction form
   166.75/341.38 = 341.38/x
3. Step 3: Cross multiply
   166.75x = 341.38 × 341.38
4. Step 4: Simplify right side
   166.75x = 116,536.89
5. Step 5: Solve for x
   x = 116,536.89/166.75
6. Step 6: Final answer
   x = 698.87