Finding the Third Proportional to 113,837 and 171,123

Step by Step Solution

1. Step 1: Write the proportion equation
   113,837 : 171,123 = 171,123 : x
2. Step 2: Convert to fraction form
   113,837/171,123 = 171,123/x
3. Step 3: Cross multiply
   113,837x = 171,123 × 171,123
4. Step 4: Simplify right side
   113,837x = 29,283,081,129
5. Step 5: Solve for x
   x = 29,283,081,129/113,837
6. Step 6: Final answer
   x = 257,236.94