Finding the Third Proportional to 377.50 and 596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377.50 : 596.50 = 596.50 : x
2. Step 2: Convert to fraction form
   377.50/596.50 = 596.50/x
3. Step 3: Cross multiply
   377.50x = 596.50 × 596.50
4. Step 4: Simplify right side
   377.50x = 355,812.25
5. Step 5: Solve for x
   x = 355,812.25/377.50
6. Step 6: Final answer
   x = 942.55