Finding the Third Proportional to 152.72 and 214.56

Step by Step Solution

1. Step 1: Write the proportion equation
   152.72 : 214.56 = 214.56 : x
2. Step 2: Convert to fraction form
   152.72/214.56 = 214.56/x
3. Step 3: Cross multiply
   152.72x = 214.56 × 214.56
4. Step 4: Simplify right side
   152.72x = 46,035.39
5. Step 5: Solve for x
   x = 46,035.39/152.72
6. Step 6: Final answer
   x = 301.44