Finding the Third Proportional to 155.69 and 331.69

Step by Step Solution

1. Step 1: Write the proportion equation
   155.69 : 331.69 = 331.69 : x
2. Step 2: Convert to fraction form
   155.69/331.69 = 331.69/x
3. Step 3: Cross multiply
   155.69x = 331.69 × 331.69
4. Step 4: Simplify right side
   155.69x = 110,016.60
5. Step 5: Solve for x
   x = 110,016.60/155.69
6. Step 6: Final answer
   x = 706.65