Finding the Third Proportional to 493,563 and 746,419

Step by Step Solution

1. Step 1: Write the proportion equation
   493,563 : 746,419 = 746,419 : x
2. Step 2: Convert to fraction form
   493,563/746,419 = 746,419/x
3. Step 3: Cross multiply
   493,563x = 746,419 × 746,419
4. Step 4: Simplify right side
   493,563x = 557,141,323,561
5. Step 5: Solve for x
   x = 557,141,323,561/493,563
6. Step 6: Final answer
   x = 1,128,815.01