Finding the Third Proportional to 470.60 and 978.54

Step by Step Solution

1. Step 1: Write the proportion equation
   470.60 : 978.54 = 978.54 : x
2. Step 2: Convert to fraction form
   470.60/978.54 = 978.54/x
3. Step 3: Cross multiply
   470.60x = 978.54 × 978.54
4. Step 4: Simplify right side
   470.60x = 957,538.70
5. Step 5: Solve for x
   x = 957,538.70/470.60
6. Step 6: Final answer
   x = 2,034.71