Finding the Third Proportional to 152.72 and 323.16

Step by Step Solution

1. Step 1: Write the proportion equation
   152.72 : 323.16 = 323.16 : x
2. Step 2: Convert to fraction form
   152.72/323.16 = 323.16/x
3. Step 3: Cross multiply
   152.72x = 323.16 × 323.16
4. Step 4: Simplify right side
   152.72x = 104,429.96
5. Step 5: Solve for x
   x = 104,429.96/152.72
6. Step 6: Final answer
   x = 683.81