Finding the Third Proportional to 117,540 and 173,837

Step by Step Solution

1. Step 1: Write the proportion equation
   117,540 : 173,837 = 173,837 : x
2. Step 2: Convert to fraction form
   117,540/173,837 = 173,837/x
3. Step 3: Cross multiply
   117,540x = 173,837 × 173,837
4. Step 4: Simplify right side
   117,540x = 30,219,302,569
5. Step 5: Solve for x
   x = 30,219,302,569/117,540
6. Step 6: Final answer
   x = 257,098.03