Finding the Third Proportional to 471.05 and 1,022.78

Step by Step Solution

1. Step 1: Write the proportion equation
   471.05 : 1,022.78 = 1,022.78 : x
2. Step 2: Convert to fraction form
   471.05/1,022.78 = 1,022.78/x
3. Step 3: Cross multiply
   471.05x = 1,022.78 × 1,022.78
4. Step 4: Simplify right side
   471.05x = 1,046,085.48
5. Step 5: Solve for x
   x = 1,046,085.48/471.05
6. Step 6: Final answer
   x = 2,220.75