Finding the Third Proportional to 89,732 and 188,758

Step by Step Solution

1. Step 1: Write the proportion equation
   89,732 : 188,758 = 188,758 : x
2. Step 2: Convert to fraction form
   89,732/188,758 = 188,758/x
3. Step 3: Cross multiply
   89,732x = 188,758 × 188,758
4. Step 4: Simplify right side
   89,732x = 35,629,582,564
5. Step 5: Solve for x
   x = 35,629,582,564/89,732
6. Step 6: Final answer
   x = 397,066.63