Finding the Third Proportional to 160,892 and 343,144

Step by Step Solution

1. Step 1: Write the proportion equation
   160,892 : 343,144 = 343,144 : x
2. Step 2: Convert to fraction form
   160,892/343,144 = 343,144/x
3. Step 3: Cross multiply
   160,892x = 343,144 × 343,144
4. Step 4: Simplify right side
   160,892x = 117,747,804,736
5. Step 5: Solve for x
   x = 117,747,804,736/160,892
6. Step 6: Final answer
   x = 731,843.75