Finding the Third Proportional to 427.78 and 908.72

Step by Step Solution

1. Step 1: Write the proportion equation
   427.78 : 908.72 = 908.72 : x
2. Step 2: Convert to fraction form
   427.78/908.72 = 908.72/x
3. Step 3: Cross multiply
   427.78x = 908.72 × 908.72
4. Step 4: Simplify right side
   427.78x = 825,769.77
5. Step 5: Solve for x
   x = 825,769.77/427.78
6. Step 6: Final answer
   x = 1,930.36