Finding the Third Proportional to 650.50 and 765.25

Step by Step Solution

1. Step 1: Write the proportion equation
   650.50 : 765.25 = 765.25 : x
2. Step 2: Convert to fraction form
   650.50/765.25 = 765.25/x
3. Step 3: Cross multiply
   650.50x = 765.25 × 765.25
4. Step 4: Simplify right side
   650.50x = 585,607.56
5. Step 5: Solve for x
   x = 585,607.56/650.50
6. Step 6: Final answer
   x = 900.24