Finding the Third Proportional to 145.69 and 250.88

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 250.88 = 250.88 : x
2. Step 2: Convert to fraction form
   145.69/250.88 = 250.88/x
3. Step 3: Cross multiply
   145.69x = 250.88 × 250.88
4. Step 4: Simplify right side
   145.69x = 62,938.27
5. Step 5: Solve for x
   x = 62,938.27/145.69
6. Step 6: Final answer
   x = 432.01