Finding the Third Proportional to 89,566 and 188,852

Step by Step Solution

1. Step 1: Write the proportion equation
   89,566 : 188,852 = 188,852 : x
2. Step 2: Convert to fraction form
   89,566/188,852 = 188,852/x
3. Step 3: Cross multiply
   89,566x = 188,852 × 188,852
4. Step 4: Simplify right side
   89,566x = 35,665,077,904
5. Step 5: Solve for x
   x = 35,665,077,904/89,566
6. Step 6: Final answer
   x = 398,198.85