Finding the Third Proportional to 513.94 and 627.56

Step by Step Solution

1. Step 1: Write the proportion equation
   513.94 : 627.56 = 627.56 : x
2. Step 2: Convert to fraction form
   513.94/627.56 = 627.56/x
3. Step 3: Cross multiply
   513.94x = 627.56 × 627.56
4. Step 4: Simplify right side
   513.94x = 393,834.69
5. Step 5: Solve for x
   x = 393,834.69/513.94
6. Step 6: Final answer
   x = 766.31