Finding the Third Proportional to 90,184 and 192,874

Step by Step Solution

1. Step 1: Write the proportion equation
   90,184 : 192,874 = 192,874 : x
2. Step 2: Convert to fraction form
   90,184/192,874 = 192,874/x
3. Step 3: Cross multiply
   90,184x = 192,874 × 192,874
4. Step 4: Simplify right side
   90,184x = 37,200,379,876
5. Step 5: Solve for x
   x = 37,200,379,876/90,184
6. Step 6: Final answer
   x = 412,494.23