Finding the Third Proportional to 443.88 and 686.63

Step by Step Solution

1. Step 1: Write the proportion equation
   443.88 : 686.63 = 686.63 : x
2. Step 2: Convert to fraction form
   443.88/686.63 = 686.63/x
3. Step 3: Cross multiply
   443.88x = 686.63 × 686.63
4. Step 4: Simplify right side
   443.88x = 471,453.89
5. Step 5: Solve for x
   x = 471,453.89/443.88
6. Step 6: Final answer
   x = 1,062.13