Finding the Third Proportional to 493,986 and 1,026,729

Step by Step Solution

1. Step 1: Write the proportion equation
   493,986 : 1,026,729 = 1,026,729 : x
2. Step 2: Convert to fraction form
   493,986/1,026,729 = 1,026,729/x
3. Step 3: Cross multiply
   493,986x = 1,026,729 × 1,026,729
4. Step 4: Simplify right side
   493,986x = 1,054,172,439,441
5. Step 5: Solve for x
   x = 1,054,172,439,441/493,986
6. Step 6: Final answer
   x = 2,134,012.78