Finding the Third Proportional to 496,684 and 764,401

Step by Step Solution

1. Step 1: Write the proportion equation
   496,684 : 764,401 = 764,401 : x
2. Step 2: Convert to fraction form
   496,684/764,401 = 764,401/x
3. Step 3: Cross multiply
   496,684x = 764,401 × 764,401
4. Step 4: Simplify right side
   496,684x = 584,308,888,801
5. Step 5: Solve for x
   x = 584,308,888,801/496,684
6. Step 6: Final answer
   x = 1,176,419.79