Finding the Third Proportional to 493,764 and 1,057,511

Step by Step Solution

1. Step 1: Write the proportion equation
   493,764 : 1,057,511 = 1,057,511 : x
2. Step 2: Convert to fraction form
   493,764/1,057,511 = 1,057,511/x
3. Step 3: Cross multiply
   493,764x = 1,057,511 × 1,057,511
4. Step 4: Simplify right side
   493,764x = 1,118,329,515,121
5. Step 5: Solve for x
   x = 1,118,329,515,121/493,764
6. Step 6: Final answer
   x = 2,264,906.95