Finding the Third Proportional to 117,538 and 173,834

Step by Step Solution

1. Step 1: Write the proportion equation
   117,538 : 173,834 = 173,834 : x
2. Step 2: Convert to fraction form
   117,538/173,834 = 173,834/x
3. Step 3: Cross multiply
   117,538x = 173,834 × 173,834
4. Step 4: Simplify right side
   117,538x = 30,218,259,556
5. Step 5: Solve for x
   x = 30,218,259,556/117,538
6. Step 6: Final answer
   x = 257,093.53