Finding the Third Proportional to 475.75 and 1,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   475.75 : 1,200.50 = 1,200.50 : x
2. Step 2: Convert to fraction form
   475.75/1,200.50 = 1,200.50/x
3. Step 3: Cross multiply
   475.75x = 1,200.50 × 1,200.50
4. Step 4: Simplify right side
   475.75x = 1,441,200.25
5. Step 5: Solve for x
   x = 1,441,200.25/475.75
6. Step 6: Final answer
   x = 3,029.32