Finding the Third Proportional to 562,919 and 829,488

Step by Step Solution

1. Step 1: Write the proportion equation
   562,919 : 829,488 = 829,488 : x
2. Step 2: Convert to fraction form
   562,919/829,488 = 829,488/x
3. Step 3: Cross multiply
   562,919x = 829,488 × 829,488
4. Step 4: Simplify right side
   562,919x = 688,050,342,144
5. Step 5: Solve for x
   x = 688,050,342,144/562,919
6. Step 6: Final answer
   x = 1,222,290.14