Finding the Third Proportional to 145.88 and 204.56

Step by Step Solution

1. Step 1: Write the proportion equation
   145.88 : 204.56 = 204.56 : x
2. Step 2: Convert to fraction form
   145.88/204.56 = 204.56/x
3. Step 3: Cross multiply
   145.88x = 204.56 × 204.56
4. Step 4: Simplify right side
   145.88x = 41,845.82
5. Step 5: Solve for x
   x = 41,845.82/145.88
6. Step 6: Final answer
   x = 286.86