Finding the Third Proportional to 377.56 and 800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377.56 : 800.50 = 800.50 : x
2. Step 2: Convert to fraction form
   377.56/800.50 = 800.50/x
3. Step 3: Cross multiply
   377.56x = 800.50 × 800.50
4. Step 4: Simplify right side
   377.56x = 640,800.25
5. Step 5: Solve for x
   x = 640,800.25/377.56
6. Step 6: Final answer
   x = 1,697.20