Finding the Third Proportional to 113,864 and 171,162

Step by Step Solution

1. Step 1: Write the proportion equation
   113,864 : 171,162 = 171,162 : x
2. Step 2: Convert to fraction form
   113,864/171,162 = 171,162/x
3. Step 3: Cross multiply
   113,864x = 171,162 × 171,162
4. Step 4: Simplify right side
   113,864x = 29,296,430,244
5. Step 5: Solve for x
   x = 29,296,430,244/113,864
6. Step 6: Final answer
   x = 257,293.18