Finding the Third Proportional to 50,494 and 107,550

Step by Step Solution

1. Step 1: Write the proportion equation
   50,494 : 107,550 = 107,550 : x
2. Step 2: Convert to fraction form
   50,494/107,550 = 107,550/x
3. Step 3: Cross multiply
   50,494x = 107,550 × 107,550
4. Step 4: Simplify right side
   50,494x = 11,567,002,500
5. Step 5: Solve for x
   x = 11,567,002,500/50,494
6. Step 6: Final answer
   x = 229,076.77