Finding the Third Proportional to 90,164 and 192,836

Step by Step Solution

1. Step 1: Write the proportion equation
   90,164 : 192,836 = 192,836 : x
2. Step 2: Convert to fraction form
   90,164/192,836 = 192,836/x
3. Step 3: Cross multiply
   90,164x = 192,836 × 192,836
4. Step 4: Simplify right side
   90,164x = 37,185,722,896
5. Step 5: Solve for x
   x = 37,185,722,896/90,164
6. Step 6: Final answer
   x = 412,423.17