Finding the Third Proportional to 50,213 and 107,098

Step by Step Solution

1. Step 1: Write the proportion equation
   50,213 : 107,098 = 107,098 : x
2. Step 2: Convert to fraction form
   50,213/107,098 = 107,098/x
3. Step 3: Cross multiply
   50,213x = 107,098 × 107,098
4. Step 4: Simplify right side
   50,213x = 11,469,981,604
5. Step 5: Solve for x
   x = 11,469,981,604/50,213
6. Step 6: Final answer
   x = 228,426.54