Finding the Third Proportional to 90,174 and 192,856

Step by Step Solution

1. Step 1: Write the proportion equation
   90,174 : 192,856 = 192,856 : x
2. Step 2: Convert to fraction form
   90,174/192,856 = 192,856/x
3. Step 3: Cross multiply
   90,174x = 192,856 × 192,856
4. Step 4: Simplify right side
   90,174x = 37,193,436,736
5. Step 5: Solve for x
   x = 37,193,436,736/90,174
6. Step 6: Final answer
   x = 412,462.98