Finding the Third Proportional to 414,552 and 860,256

Step by Step Solution

1. Step 1: Write the proportion equation
   414,552 : 860,256 = 860,256 : x
2. Step 2: Convert to fraction form
   414,552/860,256 = 860,256/x
3. Step 3: Cross multiply
   414,552x = 860,256 × 860,256
4. Step 4: Simplify right side
   414,552x = 740,040,385,536
5. Step 5: Solve for x
   x = 740,040,385,536/414,552
6. Step 6: Final answer
   x = 1,785,156.95