Finding the Third Proportional to 145.69 and 301.78

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 301.78 = 301.78 : x
2. Step 2: Convert to fraction form
   145.69/301.78 = 301.78/x
3. Step 3: Cross multiply
   145.69x = 301.78 × 301.78
4. Step 4: Simplify right side
   145.69x = 91,071.92
5. Step 5: Solve for x
   x = 91,071.92/145.69
6. Step 6: Final answer
   x = 625.12