Finding the Third Proportional to 152.72 and 339.52

Step by Step Solution

1. Step 1: Write the proportion equation
   152.72 : 339.52 = 339.52 : x
2. Step 2: Convert to fraction form
   152.72/339.52 = 339.52/x
3. Step 3: Cross multiply
   152.72x = 339.52 × 339.52
4. Step 4: Simplify right side
   152.72x = 115,270.86
5. Step 5: Solve for x
   x = 115,270.86/152.72
6. Step 6: Final answer
   x = 754.79