Finding the Third Proportional to 41,169 and 89,871

Step by Step Solution

1. Step 1: Write the proportion equation
   41,169 : 89,871 = 89,871 : x
2. Step 2: Convert to fraction form
   41,169/89,871 = 89,871/x
3. Step 3: Cross multiply
   41,169x = 89,871 × 89,871
4. Step 4: Simplify right side
   41,169x = 8,076,796,641
5. Step 5: Solve for x
   x = 8,076,796,641/41,169
6. Step 6: Final answer
   x = 196,186.37