Finding the Third Proportional to 978.25 and 2,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   978.25 : 2,078.50 = 2,078.50 : x
2. Step 2: Convert to fraction form
   978.25/2,078.50 = 2,078.50/x
3. Step 3: Cross multiply
   978.25x = 2,078.50 × 2,078.50
4. Step 4: Simplify right side
   978.25x = 4,320,162.25
5. Step 5: Solve for x
   x = 4,320,162.25/978.25
6. Step 6: Final answer
   x = 4,416.21