Finding the Third Proportional to 523,778 and 800,886

Step by Step Solution

1. Step 1: Write the proportion equation
   523,778 : 800,886 = 800,886 : x
2. Step 2: Convert to fraction form
   523,778/800,886 = 800,886/x
3. Step 3: Cross multiply
   523,778x = 800,886 × 800,886
4. Step 4: Simplify right side
   523,778x = 641,418,384,996
5. Step 5: Solve for x
   x = 641,418,384,996/523,778
6. Step 6: Final answer
   x = 1,224,599.71