Finding the Third Proportional to 435,456 and 684,288

Step by Step Solution

1. Step 1: Write the proportion equation
   435,456 : 684,288 = 684,288 : x
2. Step 2: Convert to fraction form
   435,456/684,288 = 684,288/x
3. Step 3: Cross multiply
   435,456x = 684,288 × 684,288
4. Step 4: Simplify right side
   435,456x = 468,250,066,944
5. Step 5: Solve for x
   x = 468,250,066,944/435,456
6. Step 6: Final answer
   x = 1,075,309.71