Finding the Third Proportional to 50,724 and 78,849

Step by Step Solution

1. Step 1: Write the proportion equation
   50,724 : 78,849 = 78,849 : x
2. Step 2: Convert to fraction form
   50,724/78,849 = 78,849/x
3. Step 3: Cross multiply
   50,724x = 78,849 × 78,849
4. Step 4: Simplify right side
   50,724x = 6,217,164,801
5. Step 5: Solve for x
   x = 6,217,164,801/50,724
6. Step 6: Final answer
   x = 122,568.50