Finding the Third Proportional to 152.72 and 329.06

Step by Step Solution

1. Step 1: Write the proportion equation
   152.72 : 329.06 = 329.06 : x
2. Step 2: Convert to fraction form
   152.72/329.06 = 329.06/x
3. Step 3: Cross multiply
   152.72x = 329.06 × 329.06
4. Step 4: Simplify right side
   152.72x = 108,282.13
5. Step 5: Solve for x
   x = 108,282.13/152.72
6. Step 6: Final answer
   x = 709.03