Finding the Third Proportional to 81,741 and 173,871

Step by Step Solution

1. Step 1: Write the proportion equation
   81,741 : 173,871 = 173,871 : x
2. Step 2: Convert to fraction form
   81,741/173,871 = 173,871/x
3. Step 3: Cross multiply
   81,741x = 173,871 × 173,871
4. Step 4: Simplify right side
   81,741x = 30,231,124,641
5. Step 5: Solve for x
   x = 30,231,124,641/81,741
6. Step 6: Final answer
   x = 369,840.41