Finding the Third Proportional to 89,592 and 188,378

Step by Step Solution

1. Step 1: Write the proportion equation
   89,592 : 188,378 = 188,378 : x
2. Step 2: Convert to fraction form
   89,592/188,378 = 188,378/x
3. Step 3: Cross multiply
   89,592x = 188,378 × 188,378
4. Step 4: Simplify right side
   89,592x = 35,486,270,884
5. Step 5: Solve for x
   x = 35,486,270,884/89,592
6. Step 6: Final answer
   x = 396,087.50