Finding the Third Proportional to 113,858 and 181,891

Step by Step Solution

1. Step 1: Write the proportion equation
   113,858 : 181,891 = 181,891 : x
2. Step 2: Convert to fraction form
   113,858/181,891 = 181,891/x
3. Step 3: Cross multiply
   113,858x = 181,891 × 181,891
4. Step 4: Simplify right side
   113,858x = 33,084,335,881
5. Step 5: Solve for x
   x = 33,084,335,881/113,858
6. Step 6: Final answer
   x = 290,575.42