Finding the Third Proportional to 50,840 and 107,488

Step by Step Solution

1. Step 1: Write the proportion equation
   50,840 : 107,488 = 107,488 : x
2. Step 2: Convert to fraction form
   50,840/107,488 = 107,488/x
3. Step 3: Cross multiply
   50,840x = 107,488 × 107,488
4. Step 4: Simplify right side
   50,840x = 11,553,670,144
5. Step 5: Solve for x
   x = 11,553,670,144/50,840
6. Step 6: Final answer
   x = 227,255.51