Finding the Third Proportional to 99.56 and 204.75

Step by Step Solution

1. Step 1: Write the proportion equation
   99.56 : 204.75 = 204.75 : x
2. Step 2: Convert to fraction form
   99.56/204.75 = 204.75/x
3. Step 3: Cross multiply
   99.56x = 204.75 × 204.75
4. Step 4: Simplify right side
   99.56x = 41,922.56
5. Step 5: Solve for x
   x = 41,922.56/99.56
6. Step 6: Final answer
   x = 421.07