Finding the Third Proportional to 145.78 and 304.78

Step by Step Solution

1. Step 1: Write the proportion equation
   145.78 : 304.78 = 304.78 : x
2. Step 2: Convert to fraction form
   145.78/304.78 = 304.78/x
3. Step 3: Cross multiply
   145.78x = 304.78 × 304.78
4. Step 4: Simplify right side
   145.78x = 92,891.61
5. Step 5: Solve for x
   x = 92,891.61/145.78
6. Step 6: Final answer
   x = 637.20