Finding the Third Proportional to 72.66 and 151.27

Step by Step Solution

1. Step 1: Write the proportion equation
   72.66 : 151.27 = 151.27 : x
2. Step 2: Convert to fraction form
   72.66/151.27 = 151.27/x
3. Step 3: Cross multiply
   72.66x = 151.27 × 151.27
4. Step 4: Simplify right side
   72.66x = 22,881.29
5. Step 5: Solve for x
   x = 22,881.29/72.66
6. Step 6: Final answer
   x = 314.93