Finding the Third Proportional to 108,096 and 145,512

Step by Step Solution

1. Step 1: Write the proportion equation
   108,096 : 145,512 = 145,512 : x
2. Step 2: Convert to fraction form
   108,096/145,512 = 145,512/x
3. Step 3: Cross multiply
   108,096x = 145,512 × 145,512
4. Step 4: Simplify right side
   108,096x = 21,173,742,144
5. Step 5: Solve for x
   x = 21,173,742,144/108,096
6. Step 6: Final answer
   x = 195,879.05