Finding the Third Proportional to 471.56 and 471.56

Step by Step Solution

1. Step 1: Write the proportion equation
   471.56 : 471.56 = 471.56 : x
2. Step 2: Convert to fraction form
   471.56/471.56 = 471.56/x
3. Step 3: Cross multiply
   471.56x = 471.56 × 471.56
4. Step 4: Simplify right side
   471.56x = 222,371.19
5. Step 5: Solve for x
   x = 222,371.19/471.56
6. Step 6: Final answer
   x = 471.56