Finding the Third Proportional to 145.69 and 232.56

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 232.56 = 232.56 : x
2. Step 2: Convert to fraction form
   145.69/232.56 = 232.56/x
3. Step 3: Cross multiply
   145.69x = 232.56 × 232.56
4. Step 4: Simplify right side
   145.69x = 54,085.32
5. Step 5: Solve for x
   x = 54,085.32/145.69
6. Step 6: Final answer
   x = 371.24