Finding the Third Proportional to 199.34 and 422.82

Step by Step Solution

1. Step 1: Write the proportion equation
   199.34 : 422.82 = 422.82 : x
2. Step 2: Convert to fraction form
   199.34/422.82 = 422.82/x
3. Step 3: Cross multiply
   199.34x = 422.82 × 422.82
4. Step 4: Simplify right side
   199.34x = 178,780.32
5. Step 5: Solve for x
   x = 178,780.32/199.34
6. Step 6: Final answer
   x = 896.88