Finding the Third Proportional to 50,416 and 107,632

Step by Step Solution

1. Step 1: Write the proportion equation
   50,416 : 107,632 = 107,632 : x
2. Step 2: Convert to fraction form
   50,416/107,632 = 107,632/x
3. Step 3: Cross multiply
   50,416x = 107,632 × 107,632
4. Step 4: Simplify right side
   50,416x = 11,584,647,424
5. Step 5: Solve for x
   x = 11,584,647,424/50,416
6. Step 6: Final answer
   x = 229,781.17