Finding the Third Proportional to 72,177 and 103,968

Step by Step Solution

1. Step 1: Write the proportion equation
   72,177 : 103,968 = 103,968 : x
2. Step 2: Convert to fraction form
   72,177/103,968 = 103,968/x
3. Step 3: Cross multiply
   72,177x = 103,968 × 103,968
4. Step 4: Simplify right side
   72,177x = 10,809,345,024
5. Step 5: Solve for x
   x = 10,809,345,024/72,177
6. Step 6: Final answer
   x = 149,761.63