Finding the Third Proportional to 89,923 and 189,098

Step by Step Solution

1. Step 1: Write the proportion equation
   89,923 : 189,098 = 189,098 : x
2. Step 2: Convert to fraction form
   89,923/189,098 = 189,098/x
3. Step 3: Cross multiply
   89,923x = 189,098 × 189,098
4. Step 4: Simplify right side
   89,923x = 35,758,053,604
5. Step 5: Solve for x
   x = 35,758,053,604/89,923
6. Step 6: Final answer
   x = 397,651.92