Finding the Third Proportional to 89,147 and 189,742

Step by Step Solution

1. Step 1: Write the proportion equation
   89,147 : 189,742 = 189,742 : x
2. Step 2: Convert to fraction form
   89,147/189,742 = 189,742/x
3. Step 3: Cross multiply
   89,147x = 189,742 × 189,742
4. Step 4: Simplify right side
   89,147x = 36,002,026,564
5. Step 5: Solve for x
   x = 36,002,026,564/89,147
6. Step 6: Final answer
   x = 403,850.12