Finding the Third Proportional to 89,123 and 198,171

Step by Step Solution

1. Step 1: Write the proportion equation
   89,123 : 198,171 = 198,171 : x
2. Step 2: Convert to fraction form
   89,123/198,171 = 198,171/x
3. Step 3: Cross multiply
   89,123x = 198,171 × 198,171
4. Step 4: Simplify right side
   89,123x = 39,271,745,241
5. Step 5: Solve for x
   x = 39,271,745,241/89,123
6. Step 6: Final answer
   x = 440,646.58