Finding the Third Proportional to 686,527 and 1,435,793

Step by Step Solution

1. Step 1: Write the proportion equation
   686,527 : 1,435,793 = 1,435,793 : x
2. Step 2: Convert to fraction form
   686,527/1,435,793 = 1,435,793/x
3. Step 3: Cross multiply
   686,527x = 1,435,793 × 1,435,793
4. Step 4: Simplify right side
   686,527x = 2,061,501,538,849
5. Step 5: Solve for x
   x = 2,061,501,538,849/686,527
6. Step 6: Final answer
   x = 3,002,797.47