Finding the Third Proportional to 113,485 and 164,900

Step by Step Solution

1. Step 1: Write the proportion equation
   113,485 : 164,900 = 164,900 : x
2. Step 2: Convert to fraction form
   113,485/164,900 = 164,900/x
3. Step 3: Cross multiply
   113,485x = 164,900 × 164,900
4. Step 4: Simplify right side
   113,485x = 27,192,010,000
5. Step 5: Solve for x
   x = 27,192,010,000/113,485
6. Step 6: Final answer
   x = 239,608.85