Finding the Third Proportional to 686,913 and 1,010,493

Step by Step Solution

1. Step 1: Write the proportion equation
   686,913 : 1,010,493 = 1,010,493 : x
2. Step 2: Convert to fraction form
   686,913/1,010,493 = 1,010,493/x
3. Step 3: Cross multiply
   686,913x = 1,010,493 × 1,010,493
4. Step 4: Simplify right side
   686,913x = 1,021,096,103,049
5. Step 5: Solve for x
   x = 1,021,096,103,049/686,913
6. Step 6: Final answer
   x = 1,486,499.90