Finding the Third Proportional to 116,174 and 173,799

Step by Step Solution

1. Step 1: Write the proportion equation
   116,174 : 173,799 = 173,799 : x
2. Step 2: Convert to fraction form
   116,174/173,799 = 173,799/x
3. Step 3: Cross multiply
   116,174x = 173,799 × 173,799
4. Step 4: Simplify right side
   116,174x = 30,206,092,401
5. Step 5: Solve for x
   x = 30,206,092,401/116,174
6. Step 6: Final answer
   x = 260,007.34