Finding the Third Proportional to 50,576 and 108,640

Step by Step Solution

1. Step 1: Write the proportion equation
   50,576 : 108,640 = 108,640 : x
2. Step 2: Convert to fraction form
   50,576/108,640 = 108,640/x
3. Step 3: Cross multiply
   50,576x = 108,640 × 108,640
4. Step 4: Simplify right side
   50,576x = 11,802,649,600
5. Step 5: Solve for x
   x = 11,802,649,600/50,576
6. Step 6: Final answer
   x = 233,364.63