Finding the Third Proportional to 90,403 and 196,661

Step by Step Solution

1. Step 1: Write the proportion equation
   90,403 : 196,661 = 196,661 : x
2. Step 2: Convert to fraction form
   90,403/196,661 = 196,661/x
3. Step 3: Cross multiply
   90,403x = 196,661 × 196,661
4. Step 4: Simplify right side
   90,403x = 38,675,548,921
5. Step 5: Solve for x
   x = 38,675,548,921/90,403
6. Step 6: Final answer
   x = 427,812.67