Finding the Third Proportional to 90,568 and 196,688

Step by Step Solution

1. Step 1: Write the proportion equation
   90,568 : 196,688 = 196,688 : x
2. Step 2: Convert to fraction form
   90,568/196,688 = 196,688/x
3. Step 3: Cross multiply
   90,568x = 196,688 × 196,688
4. Step 4: Simplify right side
   90,568x = 38,686,169,344
5. Step 5: Solve for x
   x = 38,686,169,344/90,568
6. Step 6: Final answer
   x = 427,150.53