Finding the Third Proportional to 41,886 and 89,838

Step by Step Solution

1. Step 1: Write the proportion equation
   41,886 : 89,838 = 89,838 : x
2. Step 2: Convert to fraction form
   41,886/89,838 = 89,838/x
3. Step 3: Cross multiply
   41,886x = 89,838 × 89,838
4. Step 4: Simplify right side
   41,886x = 8,070,866,244
5. Step 5: Solve for x
   x = 8,070,866,244/41,886
6. Step 6: Final answer
   x = 192,686.49