Finding the Third Proportional to 686,906 and 1,010,496

Step by Step Solution

1. Step 1: Write the proportion equation
   686,906 : 1,010,496 = 1,010,496 : x
2. Step 2: Convert to fraction form
   686,906/1,010,496 = 1,010,496/x
3. Step 3: Cross multiply
   686,906x = 1,010,496 × 1,010,496
4. Step 4: Simplify right side
   686,906x = 1,021,102,166,016
5. Step 5: Solve for x
   x = 1,021,102,166,016/686,906
6. Step 6: Final answer
   x = 1,486,523.87