Finding the Third Proportional to 68,144 and 105,648

Step by Step Solution

1. Step 1: Write the proportion equation
   68,144 : 105,648 = 105,648 : x
2. Step 2: Convert to fraction form
   68,144/105,648 = 105,648/x
3. Step 3: Cross multiply
   68,144x = 105,648 × 105,648
4. Step 4: Simplify right side
   68,144x = 11,161,499,904
5. Step 5: Solve for x
   x = 11,161,499,904/68,144
6. Step 6: Final answer
   x = 163,792.85