Finding the Third Proportional to 50,977 and 109,766

Step by Step Solution

1. Step 1: Write the proportion equation
   50,977 : 109,766 = 109,766 : x
2. Step 2: Convert to fraction form
   50,977/109,766 = 109,766/x
3. Step 3: Cross multiply
   50,977x = 109,766 × 109,766
4. Step 4: Simplify right side
   50,977x = 12,048,574,756
5. Step 5: Solve for x
   x = 12,048,574,756/50,977
6. Step 6: Final answer
   x = 236,353.15