Finding the Third Proportional to 89,723 and 188,741

Step by Step Solution

1. Step 1: Write the proportion equation
   89,723 : 188,741 = 188,741 : x
2. Step 2: Convert to fraction form
   89,723/188,741 = 188,741/x
3. Step 3: Cross multiply
   89,723x = 188,741 × 188,741
4. Step 4: Simplify right side
   89,723x = 35,623,165,081
5. Step 5: Solve for x
   x = 35,623,165,081/89,723
6. Step 6: Final answer
   x = 397,034.93