Finding the Third Proportional to 153.50 and 327.69

Step by Step Solution

1. Step 1: Write the proportion equation
   153.50 : 327.69 = 327.69 : x
2. Step 2: Convert to fraction form
   153.50/327.69 = 327.69/x
3. Step 3: Cross multiply
   153.50x = 327.69 × 327.69
4. Step 4: Simplify right side
   153.50x = 107,379.10
5. Step 5: Solve for x
   x = 107,379.10/153.50
6. Step 6: Final answer
   x = 699.54