Finding the Third Proportional to 123,436 and 165,469

Step by Step Solution

1. Step 1: Write the proportion equation
   123,436 : 165,469 = 165,469 : x
2. Step 2: Convert to fraction form
   123,436/165,469 = 165,469/x
3. Step 3: Cross multiply
   123,436x = 165,469 × 165,469
4. Step 4: Simplify right side
   123,436x = 27,379,989,961
5. Step 5: Solve for x
   x = 27,379,989,961/123,436
6. Step 6: Final answer
   x = 221,815.27