Finding the Third Proportional to 83,143 and 181,838

Step by Step Solution

1. Step 1: Write the proportion equation
   83,143 : 181,838 = 181,838 : x
2. Step 2: Convert to fraction form
   83,143/181,838 = 181,838/x
3. Step 3: Cross multiply
   83,143x = 181,838 × 181,838
4. Step 4: Simplify right side
   83,143x = 33,065,058,244
5. Step 5: Solve for x
   x = 33,065,058,244/83,143
6. Step 6: Final answer
   x = 397,689.02