Finding the Third Proportional to 90,666 and 195,906

Step by Step Solution

1. Step 1: Write the proportion equation
   90,666 : 195,906 = 195,906 : x
2. Step 2: Convert to fraction form
   90,666/195,906 = 195,906/x
3. Step 3: Cross multiply
   90,666x = 195,906 × 195,906
4. Step 4: Simplify right side
   90,666x = 38,379,160,836
5. Step 5: Solve for x
   x = 38,379,160,836/90,666
6. Step 6: Final answer
   x = 423,302.68