Finding the Third Proportional to 435,520 and 684,384

Step by Step Solution

1. Step 1: Write the proportion equation
   435,520 : 684,384 = 684,384 : x
2. Step 2: Convert to fraction form
   435,520/684,384 = 684,384/x
3. Step 3: Cross multiply
   435,520x = 684,384 × 684,384
4. Step 4: Simplify right side
   435,520x = 468,381,459,456
5. Step 5: Solve for x
   x = 468,381,459,456/435,520
6. Step 6: Final answer
   x = 1,075,453.39