Finding the Third Proportional to 89,337 and 189,042

Step by Step Solution

1. Step 1: Write the proportion equation
   89,337 : 189,042 = 189,042 : x
2. Step 2: Convert to fraction form
   89,337/189,042 = 189,042/x
3. Step 3: Cross multiply
   89,337x = 189,042 × 189,042
4. Step 4: Simplify right side
   89,337x = 35,736,877,764
5. Step 5: Solve for x
   x = 35,736,877,764/89,337
6. Step 6: Final answer
   x = 400,023.26