Finding the Third Proportional to 208.50 and 443.63

Step by Step Solution

1. Step 1: Write the proportion equation
   208.50 : 443.63 = 443.63 : x
2. Step 2: Convert to fraction form
   208.50/443.63 = 443.63/x
3. Step 3: Cross multiply
   208.50x = 443.63 × 443.63
4. Step 4: Simplify right side
   208.50x = 196,803.14
5. Step 5: Solve for x
   x = 196,803.14/208.50
6. Step 6: Final answer
   x = 943.90