Finding the Third Proportional to 829,778 and 1,820,196

Step by Step Solution

1. Step 1: Write the proportion equation
   829,778 : 1,820,196 = 1,820,196 : x
2. Step 2: Convert to fraction form
   829,778/1,820,196 = 1,820,196/x
3. Step 3: Cross multiply
   829,778x = 1,820,196 × 1,820,196
4. Step 4: Simplify right side
   829,778x = 3,313,113,478,416
5. Step 5: Solve for x
   x = 3,313,113,478,416/829,778
6. Step 6: Final answer
   x = 3,992,770.93