Finding the Third Proportional to 114,886 and 171,636

Step by Step Solution

1. Step 1: Write the proportion equation
   114,886 : 171,636 = 171,636 : x
2. Step 2: Convert to fraction form
   114,886/171,636 = 171,636/x
3. Step 3: Cross multiply
   114,886x = 171,636 × 171,636
4. Step 4: Simplify right side
   114,886x = 29,458,916,496
5. Step 5: Solve for x
   x = 29,458,916,496/114,886
6. Step 6: Final answer
   x = 256,418.68