Finding the Third Proportional to 50,500 and 74,778

Step by Step Solution

1. Step 1: Write the proportion equation
   50,500 : 74,778 = 74,778 : x
2. Step 2: Convert to fraction form
   50,500/74,778 = 74,778/x
3. Step 3: Cross multiply
   50,500x = 74,778 × 74,778
4. Step 4: Simplify right side
   50,500x = 5,591,749,284
5. Step 5: Solve for x
   x = 5,591,749,284/50,500
6. Step 6: Final answer
   x = 110,727.71