Finding the Third Proportional to 78,849 and 171,954

Step by Step Solution

1. Step 1: Write the proportion equation
   78,849 : 171,954 = 171,954 : x
2. Step 2: Convert to fraction form
   78,849/171,954 = 171,954/x
3. Step 3: Cross multiply
   78,849x = 171,954 × 171,954
4. Step 4: Simplify right side
   78,849x = 29,568,178,116
5. Step 5: Solve for x
   x = 29,568,178,116/78,849
6. Step 6: Final answer
   x = 374,997.50