Finding the Third Proportional to 89,399 and 189,166

Step by Step Solution

1. Step 1: Write the proportion equation
   89,399 : 189,166 = 189,166 : x
2. Step 2: Convert to fraction form
   89,399/189,166 = 189,166/x
3. Step 3: Cross multiply
   89,399x = 189,166 × 189,166
4. Step 4: Simplify right side
   89,399x = 35,783,775,556
5. Step 5: Solve for x
   x = 35,783,775,556/89,399
6. Step 6: Final answer
   x = 400,270.42