Finding the Third Proportional to 89,119 and 198,162

Step by Step Solution

1. Step 1: Write the proportion equation
   89,119 : 198,162 = 198,162 : x
2. Step 2: Convert to fraction form
   89,119/198,162 = 198,162/x
3. Step 3: Cross multiply
   89,119x = 198,162 × 198,162
4. Step 4: Simplify right side
   89,119x = 39,268,178,244
5. Step 5: Solve for x
   x = 39,268,178,244/89,119
6. Step 6: Final answer
   x = 440,626.33