Finding the Third Proportional to 199.78 and 433.59

Step by Step Solution

1. Step 1: Write the proportion equation
   199.78 : 433.59 = 433.59 : x
2. Step 2: Convert to fraction form
   199.78/433.59 = 433.59/x
3. Step 3: Cross multiply
   199.78x = 433.59 × 433.59
4. Step 4: Simplify right side
   199.78x = 188,003.54
5. Step 5: Solve for x
   x = 188,003.54/199.78
6. Step 6: Final answer
   x = 941.05