Finding the Third Proportional to 686,738 and 1,010,259

Step by Step Solution

1. Step 1: Write the proportion equation
   686,738 : 1,010,259 = 1,010,259 : x
2. Step 2: Convert to fraction form
   686,738/1,010,259 = 1,010,259/x
3. Step 3: Cross multiply
   686,738x = 1,010,259 × 1,010,259
4. Step 4: Simplify right side
   686,738x = 1,020,623,247,081
5. Step 5: Solve for x
   x = 1,020,623,247,081/686,738
6. Step 6: Final answer
   x = 1,486,190.14