Finding the Third Proportional to 113,528 and 164,945

Step by Step Solution

1. Step 1: Write the proportion equation
   113,528 : 164,945 = 164,945 : x
2. Step 2: Convert to fraction form
   113,528/164,945 = 164,945/x
3. Step 3: Cross multiply
   113,528x = 164,945 × 164,945
4. Step 4: Simplify right side
   113,528x = 27,206,853,025
5. Step 5: Solve for x
   x = 27,206,853,025/113,528
6. Step 6: Final answer
   x = 239,648.84