Finding the Third Proportional to 89,013 and 190,662

Step by Step Solution

1. Step 1: Write the proportion equation
   89,013 : 190,662 = 190,662 : x
2. Step 2: Convert to fraction form
   89,013/190,662 = 190,662/x
3. Step 3: Cross multiply
   89,013x = 190,662 × 190,662
4. Step 4: Simplify right side
   89,013x = 36,351,998,244
5. Step 5: Solve for x
   x = 36,351,998,244/89,013
6. Step 6: Final answer
   x = 408,389.77