Finding the Third Proportional to 78,871 and 172,015

Step by Step Solution

1. Step 1: Write the proportion equation
   78,871 : 172,015 = 172,015 : x
2. Step 2: Convert to fraction form
   78,871/172,015 = 172,015/x
3. Step 3: Cross multiply
   78,871x = 172,015 × 172,015
4. Step 4: Simplify right side
   78,871x = 29,589,160,225
5. Step 5: Solve for x
   x = 29,589,160,225/78,871
6. Step 6: Final answer
   x = 375,158.93