Finding the Third Proportional to 414,540 and 892,500

Step by Step Solution

1. Step 1: Write the proportion equation
   414,540 : 892,500 = 892,500 : x
2. Step 2: Convert to fraction form
   414,540/892,500 = 892,500/x
3. Step 3: Cross multiply
   414,540x = 892,500 × 892,500
4. Step 4: Simplify right side
   414,540x = 796,556,250,000
5. Step 5: Solve for x
   x = 796,556,250,000/414,540
6. Step 6: Final answer
   x = 1,921,542.55