Finding the Third Proportional to 474 and 1,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   474 : 1,198.50 = 1,198.50 : x
2. Step 2: Convert to fraction form
   474/1,198.50 = 1,198.50/x
3. Step 3: Cross multiply
   474x = 1,198.50 × 1,198.50
4. Step 4: Simplify right side
   474x = 1,436,402.25
5. Step 5: Solve for x
   x = 1,436,402.25/474
6. Step 6: Final answer
   x = 3,030.38