Finding the Third Proportional to 89,736 and 188,760

Step by Step Solution

1. Step 1: Write the proportion equation
   89,736 : 188,760 = 188,760 : x
2. Step 2: Convert to fraction form
   89,736/188,760 = 188,760/x
3. Step 3: Cross multiply
   89,736x = 188,760 × 188,760
4. Step 4: Simplify right side
   89,736x = 35,630,337,600
5. Step 5: Solve for x
   x = 35,630,337,600/89,736
6. Step 6: Final answer
   x = 397,057.34