Finding the Third Proportional to 627.89 and 884.46

Step by Step Solution

1. Step 1: Write the proportion equation
   627.89 : 884.46 = 884.46 : x
2. Step 2: Convert to fraction form
   627.89/884.46 = 884.46/x
3. Step 3: Cross multiply
   627.89x = 884.46 × 884.46
4. Step 4: Simplify right side
   627.89x = 782,271.15
5. Step 5: Solve for x
   x = 782,271.15/627.89
6. Step 6: Final answer
   x = 1,245.87