Finding the Third Proportional to 90,568 and 196,695

Step by Step Solution

1. Step 1: Write the proportion equation
   90,568 : 196,695 = 196,695 : x
2. Step 2: Convert to fraction form
   90,568/196,695 = 196,695/x
3. Step 3: Cross multiply
   90,568x = 196,695 × 196,695
4. Step 4: Simplify right side
   90,568x = 38,688,923,025
5. Step 5: Solve for x
   x = 38,688,923,025/90,568
6. Step 6: Final answer
   x = 427,180.94