Finding the Third Proportional to 208.50 and 377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208.50 : 377.50 = 377.50 : x
2. Step 2: Convert to fraction form
   208.50/377.50 = 377.50/x
3. Step 3: Cross multiply
   208.50x = 377.50 × 377.50
4. Step 4: Simplify right side
   208.50x = 142,506.25
5. Step 5: Solve for x
   x = 142,506.25/208.50
6. Step 6: Final answer
   x = 683.48