Finding the Third Proportional to 113,871 and 164,039

Step by Step Solution

1. Step 1: Write the proportion equation
   113,871 : 164,039 = 164,039 : x
2. Step 2: Convert to fraction form
   113,871/164,039 = 164,039/x
3. Step 3: Cross multiply
   113,871x = 164,039 × 164,039
4. Step 4: Simplify right side
   113,871x = 26,908,793,521
5. Step 5: Solve for x
   x = 26,908,793,521/113,871
6. Step 6: Final answer
   x = 236,309.45