Finding the Third Proportional to 89,586 and 188,352

Step by Step Solution

1. Step 1: Write the proportion equation
   89,586 : 188,352 = 188,352 : x
2. Step 2: Convert to fraction form
   89,586/188,352 = 188,352/x
3. Step 3: Cross multiply
   89,586x = 188,352 × 188,352
4. Step 4: Simplify right side
   89,586x = 35,476,475,904
5. Step 5: Solve for x
   x = 35,476,475,904/89,586
6. Step 6: Final answer
   x = 396,004.69