Finding the Third Proportional to 89,468 and 189,286

Step by Step Solution

1. Step 1: Write the proportion equation
   89,468 : 189,286 = 189,286 : x
2. Step 2: Convert to fraction form
   89,468/189,286 = 189,286/x
3. Step 3: Cross multiply
   89,468x = 189,286 × 189,286
4. Step 4: Simplify right side
   89,468x = 35,829,189,796
5. Step 5: Solve for x
   x = 35,829,189,796/89,468
6. Step 6: Final answer
   x = 400,469.33