Finding the Third Proportional to 459.42 and 994.78

Step by Step Solution

1. Step 1: Write the proportion equation
   459.42 : 994.78 = 994.78 : x
2. Step 2: Convert to fraction form
   459.42/994.78 = 994.78/x
3. Step 3: Cross multiply
   459.42x = 994.78 × 994.78
4. Step 4: Simplify right side
   459.42x = 989,589.74
5. Step 5: Solve for x
   x = 989,589.74/459.42
6. Step 6: Final answer
   x = 2,153.99