Finding the Third Proportional to 493,564 and 746,422

Step by Step Solution

1. Step 1: Write the proportion equation
   493,564 : 746,422 = 746,422 : x
2. Step 2: Convert to fraction form
   493,564/746,422 = 746,422/x
3. Step 3: Cross multiply
   493,564x = 746,422 × 746,422
4. Step 4: Simplify right side
   493,564x = 557,145,802,084
5. Step 5: Solve for x
   x = 557,145,802,084/493,564
6. Step 6: Final answer
   x = 1,128,821.80