Finding the Third Proportional to 50,489 and 78,401

Step by Step Solution

1. Step 1: Write the proportion equation
   50,489 : 78,401 = 78,401 : x
2. Step 2: Convert to fraction form
   50,489/78,401 = 78,401/x
3. Step 3: Cross multiply
   50,489x = 78,401 × 78,401
4. Step 4: Simplify right side
   50,489x = 6,146,716,801
5. Step 5: Solve for x
   x = 6,146,716,801/50,489
6. Step 6: Final answer
   x = 121,743.68