Finding the Third Proportional to 90,646 and 195,705

Step by Step Solution

1. Step 1: Write the proportion equation
   90,646 : 195,705 = 195,705 : x
2. Step 2: Convert to fraction form
   90,646/195,705 = 195,705/x
3. Step 3: Cross multiply
   90,646x = 195,705 × 195,705
4. Step 4: Simplify right side
   90,646x = 38,300,447,025
5. Step 5: Solve for x
   x = 38,300,447,025/90,646
6. Step 6: Final answer
   x = 422,527.71