Finding the Third Proportional to 85,741 and 181,849

Step by Step Solution

1. Step 1: Write the proportion equation
   85,741 : 181,849 = 181,849 : x
2. Step 2: Convert to fraction form
   85,741/181,849 = 181,849/x
3. Step 3: Cross multiply
   85,741x = 181,849 × 181,849
4. Step 4: Simplify right side
   85,741x = 33,069,058,801
5. Step 5: Solve for x
   x = 33,069,058,801/85,741
6. Step 6: Final answer
   x = 385,685.48