Finding the Third Proportional to 145.88 and 225.42

Step by Step Solution

1. Step 1: Write the proportion equation
   145.88 : 225.42 = 225.42 : x
2. Step 2: Convert to fraction form
   145.88/225.42 = 225.42/x
3. Step 3: Cross multiply
   145.88x = 225.42 × 225.42
4. Step 4: Simplify right side
   145.88x = 50,815.02
5. Step 5: Solve for x
   x = 50,815.02/145.88
6. Step 6: Final answer
   x = 348.35