Finding the Third Proportional to 417.94 and 900.42

Step by Step Solution

1. Step 1: Write the proportion equation
   417.94 : 900.42 = 900.42 : x
2. Step 2: Convert to fraction form
   417.94/900.42 = 900.42/x
3. Step 3: Cross multiply
   417.94x = 900.42 × 900.42
4. Step 4: Simplify right side
   417.94x = 810,759.55
5. Step 5: Solve for x
   x = 810,759.55/417.94
6. Step 6: Final answer
   x = 1,939.91