Finding the Third Proportional to 140.69 and 328.56

Step by Step Solution

1. Step 1: Write the proportion equation
   140.69 : 328.56 = 328.56 : x
2. Step 2: Convert to fraction form
   140.69/328.56 = 328.56/x
3. Step 3: Cross multiply
   140.69x = 328.56 × 328.56
4. Step 4: Simplify right side
   140.69x = 107,953.32
5. Step 5: Solve for x
   x = 107,953.32/140.69
6. Step 6: Final answer
   x = 767.33