Finding the Third Proportional to 78,993 and 173,293

Step by Step Solution

1. Step 1: Write the proportion equation
   78,993 : 173,293 = 173,293 : x
2. Step 2: Convert to fraction form
   78,993/173,293 = 173,293/x
3. Step 3: Cross multiply
   78,993x = 173,293 × 173,293
4. Step 4: Simplify right side
   78,993x = 30,030,463,849
5. Step 5: Solve for x
   x = 30,030,463,849/78,993
6. Step 6: Final answer
   x = 380,166.14