Finding the Third Proportional to 115,976 and 173,516

Step by Step Solution

1. Step 1: Write the proportion equation
   115,976 : 173,516 = 173,516 : x
2. Step 2: Convert to fraction form
   115,976/173,516 = 173,516/x
3. Step 3: Cross multiply
   115,976x = 173,516 × 173,516
4. Step 4: Simplify right side
   115,976x = 30,107,802,256
5. Step 5: Solve for x
   x = 30,107,802,256/115,976
6. Step 6: Final answer
   x = 259,603.73