Finding the Third Proportional to 89,596 and 188,386

Step by Step Solution

1. Step 1: Write the proportion equation
   89,596 : 188,386 = 188,386 : x
2. Step 2: Convert to fraction form
   89,596/188,386 = 188,386/x
3. Step 3: Cross multiply
   89,596x = 188,386 × 188,386
4. Step 4: Simplify right side
   89,596x = 35,489,284,996
5. Step 5: Solve for x
   x = 35,489,284,996/89,596
6. Step 6: Final answer
   x = 396,103.45