Finding the Third Proportional to 140.91 and 329.34

Step by Step Solution

1. Step 1: Write the proportion equation
   140.91 : 329.34 = 329.34 : x
2. Step 2: Convert to fraction form
   140.91/329.34 = 329.34/x
3. Step 3: Cross multiply
   140.91x = 329.34 × 329.34
4. Step 4: Simplify right side
   140.91x = 108,467.31
5. Step 5: Solve for x
   x = 108,467.31/140.91
6. Step 6: Final answer
   x = 769.78