Finding the Third Proportional to 113,856 and 181,888

Step by Step Solution

1. Step 1: Write the proportion equation
   113,856 : 181,888 = 181,888 : x
2. Step 2: Convert to fraction form
   113,856/181,888 = 181,888/x
3. Step 3: Cross multiply
   113,856x = 181,888 × 181,888
4. Step 4: Simplify right side
   113,856x = 33,083,244,544
5. Step 5: Solve for x
   x = 33,083,244,544/113,856
6. Step 6: Final answer
   x = 290,570.94