Finding the Third Proportional to 199.25 and 374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199.25 : 374.50 = 374.50 : x
2. Step 2: Convert to fraction form
   199.25/374.50 = 374.50/x
3. Step 3: Cross multiply
   199.25x = 374.50 × 374.50
4. Step 4: Simplify right side
   199.25x = 140,250.25
5. Step 5: Solve for x
   x = 140,250.25/199.25
6. Step 6: Final answer
   x = 703.89