Finding the Third Proportional to 538.25 and 789.25

Step by Step Solution

1. Step 1: Write the proportion equation
   538.25 : 789.25 = 789.25 : x
2. Step 2: Convert to fraction form
   538.25/789.25 = 789.25/x
3. Step 3: Cross multiply
   538.25x = 789.25 × 789.25
4. Step 4: Simplify right side
   538.25x = 622,915.56
5. Step 5: Solve for x
   x = 622,915.56/538.25
6. Step 6: Final answer
   x = 1,157.30