Finding the Third Proportional to 686,536 and 1,435,808

Step by Step Solution

1. Step 1: Write the proportion equation
   686,536 : 1,435,808 = 1,435,808 : x
2. Step 2: Convert to fraction form
   686,536/1,435,808 = 1,435,808/x
3. Step 3: Cross multiply
   686,536x = 1,435,808 × 1,435,808
4. Step 4: Simplify right side
   686,536x = 2,061,544,612,864
5. Step 5: Solve for x
   x = 2,061,544,612,864/686,536
6. Step 6: Final answer
   x = 3,002,820.85