Finding the Third Proportional to 89,734 and 188,768

Step by Step Solution

1. Step 1: Write the proportion equation
   89,734 : 188,768 = 188,768 : x
2. Step 2: Convert to fraction form
   89,734/188,768 = 188,768/x
3. Step 3: Cross multiply
   89,734x = 188,768 × 188,768
4. Step 4: Simplify right side
   89,734x = 35,633,357,824
5. Step 5: Solve for x
   x = 35,633,357,824/89,734
6. Step 6: Final answer
   x = 397,099.85