Finding the Third Proportional to 166.59 and 341.34

Step by Step Solution

1. Step 1: Write the proportion equation
   166.59 : 341.34 = 341.34 : x
2. Step 2: Convert to fraction form
   166.59/341.34 = 341.34/x
3. Step 3: Cross multiply
   166.59x = 341.34 × 341.34
4. Step 4: Simplify right side
   166.59x = 116,515.56
5. Step 5: Solve for x
   x = 116,515.56/166.59
6. Step 6: Final answer
   x = 699.40