Finding the Third Proportional to 627.75 and 760.69

Step by Step Solution

1. Step 1: Write the proportion equation
   627.75 : 760.69 = 760.69 : x
2. Step 2: Convert to fraction form
   627.75/760.69 = 760.69/x
3. Step 3: Cross multiply
   627.75x = 760.69 × 760.69
4. Step 4: Simplify right side
   627.75x = 578,645.47
5. Step 5: Solve for x
   x = 578,645.47/627.75
6. Step 6: Final answer
   x = 921.78