Finding the Third Proportional to 419,132 and 857,632

Step by Step Solution

1. Step 1: Write the proportion equation
   419,132 : 857,632 = 857,632 : x
2. Step 2: Convert to fraction form
   419,132/857,632 = 857,632/x
3. Step 3: Cross multiply
   419,132x = 857,632 × 857,632
4. Step 4: Simplify right side
   419,132x = 735,532,647,424
5. Step 5: Solve for x
   x = 735,532,647,424/419,132
6. Step 6: Final answer
   x = 1,754,894.99