Finding the Third Proportional to 145.69 and 234.47

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 234.47 = 234.47 : x
2. Step 2: Convert to fraction form
   145.69/234.47 = 234.47/x
3. Step 3: Cross multiply
   145.69x = 234.47 × 234.47
4. Step 4: Simplify right side
   145.69x = 54,975.59
5. Step 5: Solve for x
   x = 54,975.59/145.69
6. Step 6: Final answer
   x = 377.35