Finding the Third Proportional to 50,404 and 107,180

Step by Step Solution

1. Step 1: Write the proportion equation
   50,404 : 107,180 = 107,180 : x
2. Step 2: Convert to fraction form
   50,404/107,180 = 107,180/x
3. Step 3: Cross multiply
   50,404x = 107,180 × 107,180
4. Step 4: Simplify right side
   50,404x = 11,487,552,400
5. Step 5: Solve for x
   x = 11,487,552,400/50,404
6. Step 6: Final answer
   x = 227,909.54