Finding the Third Proportional to 686,914 and 1,010,494

Step by Step Solution

1. Step 1: Write the proportion equation
   686,914 : 1,010,494 = 1,010,494 : x
2. Step 2: Convert to fraction form
   686,914/1,010,494 = 1,010,494/x
3. Step 3: Cross multiply
   686,914x = 1,010,494 × 1,010,494
4. Step 4: Simplify right side
   686,914x = 1,021,098,124,036
5. Step 5: Solve for x
   x = 1,021,098,124,036/686,914
6. Step 6: Final answer
   x = 1,486,500.67