Finding the Third Proportional to 49,309 and 107,834

Step by Step Solution

1. Step 1: Write the proportion equation
   49,309 : 107,834 = 107,834 : x
2. Step 2: Convert to fraction form
   49,309/107,834 = 107,834/x
3. Step 3: Cross multiply
   49,309x = 107,834 × 107,834
4. Step 4: Simplify right side
   49,309x = 11,628,171,556
5. Step 5: Solve for x
   x = 11,628,171,556/49,309
6. Step 6: Final answer
   x = 235,822.50