Finding the Third Proportional to 199.55 and 458.37

Step by Step Solution

1. Step 1: Write the proportion equation
   199.55 : 458.37 = 458.37 : x
2. Step 2: Convert to fraction form
   199.55/458.37 = 458.37/x
3. Step 3: Cross multiply
   199.55x = 458.37 × 458.37
4. Step 4: Simplify right side
   199.55x = 210,100.48
5. Step 5: Solve for x
   x = 210,100.48/199.55
6. Step 6: Final answer
   x = 1,052.89