Finding the Third Proportional to 627.96 and 978.22

Step by Step Solution

1. Step 1: Write the proportion equation
   627.96 : 978.22 = 978.22 : x
2. Step 2: Convert to fraction form
   627.96/978.22 = 978.22/x
3. Step 3: Cross multiply
   627.96x = 978.22 × 978.22
4. Step 4: Simplify right side
   627.96x = 956,919.57
5. Step 5: Solve for x
   x = 956,919.57/627.96
6. Step 6: Final answer
   x = 1,523.85