Finding the Third Proportional to 507.25 and 766.31

Step by Step Solution

1. Step 1: Write the proportion equation
   507.25 : 766.31 = 766.31 : x
2. Step 2: Convert to fraction form
   507.25/766.31 = 766.31/x
3. Step 3: Cross multiply
   507.25x = 766.31 × 766.31
4. Step 4: Simplify right side
   507.25x = 587,234.85
5. Step 5: Solve for x
   x = 587,234.85/507.25
6. Step 6: Final answer
   x = 1,157.68