Finding the Third Proportional to 686,739 and 1,010,261

Step by Step Solution

1. Step 1: Write the proportion equation
   686,739 : 1,010,261 = 1,010,261 : x
2. Step 2: Convert to fraction form
   686,739/1,010,261 = 1,010,261/x
3. Step 3: Cross multiply
   686,739x = 1,010,261 × 1,010,261
4. Step 4: Simplify right side
   686,739x = 1,020,627,288,121
5. Step 5: Solve for x
   x = 1,020,627,288,121/686,739
6. Step 6: Final answer
   x = 1,486,193.86