Finding the Third Proportional to 152.72 and 325.69

Step by Step Solution

1. Step 1: Write the proportion equation
   152.72 : 325.69 = 325.69 : x
2. Step 2: Convert to fraction form
   152.72/325.69 = 325.69/x
3. Step 3: Cross multiply
   152.72x = 325.69 × 325.69
4. Step 4: Simplify right side
   152.72x = 106,072.35
5. Step 5: Solve for x
   x = 106,072.35/152.72
6. Step 6: Final answer
   x = 694.56