Finding the Third Proportional to 627.94 and 919.31

Step by Step Solution

1. Step 1: Write the proportion equation
   627.94 : 919.31 = 919.31 : x
2. Step 2: Convert to fraction form
   627.94/919.31 = 919.31/x
3. Step 3: Cross multiply
   627.94x = 919.31 × 919.31
4. Step 4: Simplify right side
   627.94x = 845,135.47
5. Step 5: Solve for x
   x = 845,135.47/627.94
6. Step 6: Final answer
   x = 1,345.89