Finding the Third Proportional to 501.83 and 772.31

Step by Step Solution

1. Step 1: Write the proportion equation
   501.83 : 772.31 = 772.31 : x
2. Step 2: Convert to fraction form
   501.83/772.31 = 772.31/x
3. Step 3: Cross multiply
   501.83x = 772.31 × 772.31
4. Step 4: Simplify right side
   501.83x = 596,466.60
5. Step 5: Solve for x
   x = 596,466.60/501.83
6. Step 6: Final answer
   x = 1,188.59