Finding the Third Proportional to 686,757 and 1,010,281

Step by Step Solution

1. Step 1: Write the proportion equation
   686,757 : 1,010,281 = 1,010,281 : x
2. Step 2: Convert to fraction form
   686,757/1,010,281 = 1,010,281/x
3. Step 3: Cross multiply
   686,757x = 1,010,281 × 1,010,281
4. Step 4: Simplify right side
   686,757x = 1,020,667,698,961
5. Step 5: Solve for x
   x = 1,020,667,698,961/686,757
6. Step 6: Final answer
   x = 1,486,213.75