Finding the Third Proportional to 99.66 and 204.56

Step by Step Solution

1. Step 1: Write the proportion equation
   99.66 : 204.56 = 204.56 : x
2. Step 2: Convert to fraction form
   99.66/204.56 = 204.56/x
3. Step 3: Cross multiply
   99.66x = 204.56 × 204.56
4. Step 4: Simplify right side
   99.66x = 41,845.82
5. Step 5: Solve for x
   x = 41,845.82/99.66
6. Step 6: Final answer
   x = 419.90