Finding the Third Proportional to 429,799 and 581,636

Step by Step Solution

1. Step 1: Write the proportion equation
   429,799 : 581,636 = 581,636 : x
2. Step 2: Convert to fraction form
   429,799/581,636 = 581,636/x
3. Step 3: Cross multiply
   429,799x = 581,636 × 581,636
4. Step 4: Simplify right side
   429,799x = 338,300,436,496
5. Step 5: Solve for x
   x = 338,300,436,496/429,799
6. Step 6: Final answer
   x = 787,113.13