Finding the Third Proportional to 493.25 and 775.25

Step by Step Solution

1. Step 1: Write the proportion equation
   493.25 : 775.25 = 775.25 : x
2. Step 2: Convert to fraction form
   493.25/775.25 = 775.25/x
3. Step 3: Cross multiply
   493.25x = 775.25 × 775.25
4. Step 4: Simplify right side
   493.25x = 601,012.56
5. Step 5: Solve for x
   x = 601,012.56/493.25
6. Step 6: Final answer
   x = 1,218.47