Finding the Third Proportional to 145.94 and 204.72

Step by Step Solution

1. Step 1: Write the proportion equation
   145.94 : 204.72 = 204.72 : x
2. Step 2: Convert to fraction form
   145.94/204.72 = 204.72/x
3. Step 3: Cross multiply
   145.94x = 204.72 × 204.72
4. Step 4: Simplify right side
   145.94x = 41,909.77
5. Step 5: Solve for x
   x = 41,909.77/145.94
6. Step 6: Final answer
   x = 287.18