Finding the Third Proportional to 113,842 and 164,469

Step by Step Solution

1. Step 1: Write the proportion equation
   113,842 : 164,469 = 164,469 : x
2. Step 2: Convert to fraction form
   113,842/164,469 = 164,469/x
3. Step 3: Cross multiply
   113,842x = 164,469 × 164,469
4. Step 4: Simplify right side
   113,842x = 27,050,051,961
5. Step 5: Solve for x
   x = 27,050,051,961/113,842
6. Step 6: Final answer
   x = 237,610.48