Finding the Third Proportional to 49,029 and 105,834

Step by Step Solution

1. Step 1: Write the proportion equation
   49,029 : 105,834 = 105,834 : x
2. Step 2: Convert to fraction form
   49,029/105,834 = 105,834/x
3. Step 3: Cross multiply
   49,029x = 105,834 × 105,834
4. Step 4: Simplify right side
   49,029x = 11,200,835,556
5. Step 5: Solve for x
   x = 11,200,835,556/49,029
6. Step 6: Final answer
   x = 228,453.27