Finding the Third Proportional to 205.88 and 443.63

Step by Step Solution

1. Step 1: Write the proportion equation
   205.88 : 443.63 = 443.63 : x
2. Step 2: Convert to fraction form
   205.88/443.63 = 443.63/x
3. Step 3: Cross multiply
   205.88x = 443.63 × 443.63
4. Step 4: Simplify right side
   205.88x = 196,803.14
5. Step 5: Solve for x
   x = 196,803.14/205.88
6. Step 6: Final answer
   x = 955.94