Finding the Third Proportional to 596.50 and 793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   596.50 : 793.50 = 793.50 : x
2. Step 2: Convert to fraction form
   596.50/793.50 = 793.50/x
3. Step 3: Cross multiply
   596.50x = 793.50 × 793.50
4. Step 4: Simplify right side
   596.50x = 629,642.25
5. Step 5: Solve for x
   x = 629,642.25/596.50
6. Step 6: Final answer
   x = 1,055.56