Finding the Third Proportional to 686,816 and 1,050,636

Step by Step Solution

1. Step 1: Write the proportion equation
   686,816 : 1,050,636 = 1,050,636 : x
2. Step 2: Convert to fraction form
   686,816/1,050,636 = 1,050,636/x
3. Step 3: Cross multiply
   686,816x = 1,050,636 × 1,050,636
4. Step 4: Simplify right side
   686,816x = 1,103,836,004,496
5. Step 5: Solve for x
   x = 1,103,836,004,496/686,816
6. Step 6: Final answer
   x = 1,607,178.64