Finding the Third Proportional to 686,814 and 1,050,705

Step by Step Solution

1. Step 1: Write the proportion equation
   686,814 : 1,050,705 = 1,050,705 : x
2. Step 2: Convert to fraction form
   686,814/1,050,705 = 1,050,705/x
3. Step 3: Cross multiply
   686,814x = 1,050,705 × 1,050,705
4. Step 4: Simplify right side
   686,814x = 1,103,980,997,025
5. Step 5: Solve for x
   x = 1,103,980,997,025/686,814
6. Step 6: Final answer
   x = 1,607,394.43