Finding the Third Proportional to 50,503 and 74,778

Step by Step Solution

1. Step 1: Write the proportion equation
   50,503 : 74,778 = 74,778 : x
2. Step 2: Convert to fraction form
   50,503/74,778 = 74,778/x
3. Step 3: Cross multiply
   50,503x = 74,778 × 74,778
4. Step 4: Simplify right side
   50,503x = 5,591,749,284
5. Step 5: Solve for x
   x = 5,591,749,284/50,503
6. Step 6: Final answer
   x = 110,721.13