Finding the Third Proportional to 50,638 and 78,418

Step by Step Solution

1. Step 1: Write the proportion equation
   50,638 : 78,418 = 78,418 : x
2. Step 2: Convert to fraction form
   50,638/78,418 = 78,418/x
3. Step 3: Cross multiply
   50,638x = 78,418 × 78,418
4. Step 4: Simplify right side
   50,638x = 6,149,382,724
5. Step 5: Solve for x
   x = 6,149,382,724/50,638
6. Step 6: Final answer
   x = 121,438.10