Finding the Third Proportional to 105,824 and 170,144

Step by Step Solution

1. Step 1: Write the proportion equation
   105,824 : 170,144 = 170,144 : x
2. Step 2: Convert to fraction form
   105,824/170,144 = 170,144/x
3. Step 3: Cross multiply
   105,824x = 170,144 × 170,144
4. Step 4: Simplify right side
   105,824x = 28,948,980,736
5. Step 5: Solve for x
   x = 28,948,980,736/105,824
6. Step 6: Final answer
   x = 273,557.80