Finding the Third Proportional to 106,096 and 139,444

Step by Step Solution

1. Step 1: Write the proportion equation
   106,096 : 139,444 = 139,444 : x
2. Step 2: Convert to fraction form
   106,096/139,444 = 139,444/x
3. Step 3: Cross multiply
   106,096x = 139,444 × 139,444
4. Step 4: Simplify right side
   106,096x = 19,444,629,136
5. Step 5: Solve for x
   x = 19,444,629,136/106,096
6. Step 6: Final answer
   x = 183,273.91