Finding the Third Proportional to 89,766 and 189,252

Step by Step Solution

1. Step 1: Write the proportion equation
   89,766 : 189,252 = 189,252 : x
2. Step 2: Convert to fraction form
   89,766/189,252 = 189,252/x
3. Step 3: Cross multiply
   89,766x = 189,252 × 189,252
4. Step 4: Simplify right side
   89,766x = 35,816,319,504
5. Step 5: Solve for x
   x = 35,816,319,504/89,766
6. Step 6: Final answer
   x = 398,996.50