Finding the Third Proportional to 50,648 and 78,619

Step by Step Solution

1. Step 1: Write the proportion equation
   50,648 : 78,619 = 78,619 : x
2. Step 2: Convert to fraction form
   50,648/78,619 = 78,619/x
3. Step 3: Cross multiply
   50,648x = 78,619 × 78,619
4. Step 4: Simplify right side
   50,648x = 6,180,947,161
5. Step 5: Solve for x
   x = 6,180,947,161/50,648
6. Step 6: Final answer
   x = 122,037.34