Finding the Third Proportional to 339.75 and 443.63

Step by Step Solution

1. Step 1: Write the proportion equation
   339.75 : 443.63 = 443.63 : x
2. Step 2: Convert to fraction form
   339.75/443.63 = 443.63/x
3. Step 3: Cross multiply
   339.75x = 443.63 × 443.63
4. Step 4: Simplify right side
   339.75x = 196,803.14
5. Step 5: Solve for x
   x = 196,803.14/339.75
6. Step 6: Final answer
   x = 579.26