Finding the Third Proportional to 804.56 and 922.69

Step by Step Solution

1. Step 1: Write the proportion equation
   804.56 : 922.69 = 922.69 : x
2. Step 2: Convert to fraction form
   804.56/922.69 = 922.69/x
3. Step 3: Cross multiply
   804.56x = 922.69 × 922.69
4. Step 4: Simplify right side
   804.56x = 851,352.22
5. Step 5: Solve for x
   x = 851,352.22/804.56
6. Step 6: Final answer
   x = 1,058.16