Finding the Third Proportional to 90,558 and 189,378

Step by Step Solution

1. Step 1: Write the proportion equation
   90,558 : 189,378 = 189,378 : x
2. Step 2: Convert to fraction form
   90,558/189,378 = 189,378/x
3. Step 3: Cross multiply
   90,558x = 189,378 × 189,378
4. Step 4: Simplify right side
   90,558x = 35,864,026,884
5. Step 5: Solve for x
   x = 35,864,026,884/90,558
6. Step 6: Final answer
   x = 396,033.78