Finding the Third Proportional to 449.50 and 978.13

Step by Step Solution

1. Step 1: Write the proportion equation
   449.50 : 978.13 = 978.13 : x
2. Step 2: Convert to fraction form
   449.50/978.13 = 978.13/x
3. Step 3: Cross multiply
   449.50x = 978.13 × 978.13
4. Step 4: Simplify right side
   449.50x = 956,728.52
5. Step 5: Solve for x
   x = 956,728.52/449.50
6. Step 6: Final answer
   x = 2,128.43