Finding the Third Proportional to 50,380 and 76,778

Step by Step Solution

1. Step 1: Write the proportion equation
   50,380 : 76,778 = 76,778 : x
2. Step 2: Convert to fraction form
   50,380/76,778 = 76,778/x
3. Step 3: Cross multiply
   50,380x = 76,778 × 76,778
4. Step 4: Simplify right side
   50,380x = 5,894,861,284
5. Step 5: Solve for x
   x = 5,894,861,284/50,380
6. Step 6: Final answer
   x = 117,007.97