Finding the Third Proportional to 145.69 and 188.72

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 188.72 = 188.72 : x
2. Step 2: Convert to fraction form
   145.69/188.72 = 188.72/x
3. Step 3: Cross multiply
   145.69x = 188.72 × 188.72
4. Step 4: Simplify right side
   145.69x = 35,614.77
5. Step 5: Solve for x
   x = 35,614.77/145.69
6. Step 6: Final answer
   x = 244.46