Finding the Third Proportional to 113,852 and 171,144

Step by Step Solution

1. Step 1: Write the proportion equation
   113,852 : 171,144 = 171,144 : x
2. Step 2: Convert to fraction form
   113,852/171,144 = 171,144/x
3. Step 3: Cross multiply
   113,852x = 171,144 × 171,144
4. Step 4: Simplify right side
   113,852x = 29,290,268,736
5. Step 5: Solve for x
   x = 29,290,268,736/113,852
6. Step 6: Final answer
   x = 257,266.18