Finding the Third Proportional to 141.69 and 326.56

Step by Step Solution

1. Step 1: Write the proportion equation
   141.69 : 326.56 = 326.56 : x
2. Step 2: Convert to fraction form
   141.69/326.56 = 326.56/x
3. Step 3: Cross multiply
   141.69x = 326.56 × 326.56
4. Step 4: Simplify right side
   141.69x = 106,643.07
5. Step 5: Solve for x
   x = 106,643.07/141.69
6. Step 6: Final answer
   x = 752.66