Finding the Third Proportional to 152.51 and 325.27

Step by Step Solution

1. Step 1: Write the proportion equation
   152.51 : 325.27 = 325.27 : x
2. Step 2: Convert to fraction form
   152.51/325.27 = 325.27/x
3. Step 3: Cross multiply
   152.51x = 325.27 × 325.27
4. Step 4: Simplify right side
   152.51x = 105,797.73
5. Step 5: Solve for x
   x = 105,797.73/152.51
6. Step 6: Final answer
   x = 693.72