Finding the Third Proportional to 825,615 and 1,162,647

Step by Step Solution

1. Step 1: Write the proportion equation
   825,615 : 1,162,647 = 1,162,647 : x
2. Step 2: Convert to fraction form
   825,615/1,162,647 = 1,162,647/x
3. Step 3: Cross multiply
   825,615x = 1,162,647 × 1,162,647
4. Step 4: Simplify right side
   825,615x = 1,351,748,046,609
5. Step 5: Solve for x
   x = 1,351,748,046,609/825,615
6. Step 6: Final answer
   x = 1,637,261.98