Finding the Third Proportional to 139,968 and 189,216

Step by Step Solution

1. Step 1: Write the proportion equation
   139,968 : 189,216 = 189,216 : x
2. Step 2: Convert to fraction form
   139,968/189,216 = 189,216/x
3. Step 3: Cross multiply
   139,968x = 189,216 × 189,216
4. Step 4: Simplify right side
   139,968x = 35,802,694,656
5. Step 5: Solve for x
   x = 35,802,694,656/139,968
6. Step 6: Final answer
   x = 255,792