Finding the Third Proportional to 152.72 and 335.81

Step by Step Solution

1. Step 1: Write the proportion equation
   152.72 : 335.81 = 335.81 : x
2. Step 2: Convert to fraction form
   152.72/335.81 = 335.81/x
3. Step 3: Cross multiply
   152.72x = 335.81 × 335.81
4. Step 4: Simplify right side
   152.72x = 112,770.04
5. Step 5: Solve for x
   x = 112,770.04/152.72
6. Step 6: Final answer
   x = 738.42