Finding the Third Proportional to 415,735,794 and 892,882,404

Step by Step Solution

1. Step 1: Write the proportion equation
   415,735,794 : 892,882,404 = 892,882,404 : x
2. Step 2: Convert to fraction form
   415,735,794/892,882,404 = 892,882,404/x
3. Step 3: Cross multiply
   415,735,794x = 892,882,404 × 892,882,404
4. Step 4: Simplify right side
   415,735,794x = 797,238,987,372,819,200
5. Step 5: Solve for x
   x = 797,238,987,372,819,200/415,735,794
6. Step 6: Final answer
   x = 1,917,657,798.24