Finding the Third Proportional to 834.56 and 922.31

Step by Step Solution

1. Step 1: Write the proportion equation
   834.56 : 922.31 = 922.31 : x
2. Step 2: Convert to fraction form
   834.56/922.31 = 922.31/x
3. Step 3: Cross multiply
   834.56x = 922.31 × 922.31
4. Step 4: Simplify right side
   834.56x = 850,660.35
5. Step 5: Solve for x
   x = 850,660.35/834.56
6. Step 6: Final answer
   x = 1,019.29