Finding the Third Proportional to 686,828 and 1,050,657

Step by Step Solution

1. Step 1: Write the proportion equation
   686,828 : 1,050,657 = 1,050,657 : x
2. Step 2: Convert to fraction form
   686,828/1,050,657 = 1,050,657/x
3. Step 3: Cross multiply
   686,828x = 1,050,657 × 1,050,657
4. Step 4: Simplify right side
   686,828x = 1,103,880,131,649
5. Step 5: Solve for x
   x = 1,103,880,131,649/686,828
6. Step 6: Final answer
   x = 1,607,214.81