Finding the Third Proportional to 50,906 and 78,834

Step by Step Solution

1. Step 1: Write the proportion equation
   50,906 : 78,834 = 78,834 : x
2. Step 2: Convert to fraction form
   50,906/78,834 = 78,834/x
3. Step 3: Cross multiply
   50,906x = 78,834 × 78,834
4. Step 4: Simplify right side
   50,906x = 6,214,799,556
5. Step 5: Solve for x
   x = 6,214,799,556/50,906
6. Step 6: Final answer
   x = 122,083.83