Finding the Third Proportional to 588 and 773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   588 : 773.50 = 773.50 : x
2. Step 2: Convert to fraction form
   588/773.50 = 773.50/x
3. Step 3: Cross multiply
   588x = 773.50 × 773.50
4. Step 4: Simplify right side
   588x = 598,302.25
5. Step 5: Solve for x
   x = 598,302.25/588
6. Step 6: Final answer
   x = 1,017.52