Finding the Third Proportional to 113,504 and 171,834

Step by Step Solution

1. Step 1: Write the proportion equation
   113,504 : 171,834 = 171,834 : x
2. Step 2: Convert to fraction form
   113,504/171,834 = 171,834/x
3. Step 3: Cross multiply
   113,504x = 171,834 × 171,834
4. Step 4: Simplify right side
   113,504x = 29,526,923,556
5. Step 5: Solve for x
   x = 29,526,923,556/113,504
6. Step 6: Final answer
   x = 260,139.94