Finding the Third Proportional to 113,488 and 164,885

Step by Step Solution

1. Step 1: Write the proportion equation
   113,488 : 164,885 = 164,885 : x
2. Step 2: Convert to fraction form
   113,488/164,885 = 164,885/x
3. Step 3: Cross multiply
   113,488x = 164,885 × 164,885
4. Step 4: Simplify right side
   113,488x = 27,187,063,225
5. Step 5: Solve for x
   x = 27,187,063,225/113,488
6. Step 6: Final answer
   x = 239,558.92