Finding the Third Proportional to 826,586 and 1,276,710

Step by Step Solution

1. Step 1: Write the proportion equation
   826,586 : 1,276,710 = 1,276,710 : x
2. Step 2: Convert to fraction form
   826,586/1,276,710 = 1,276,710/x
3. Step 3: Cross multiply
   826,586x = 1,276,710 × 1,276,710
4. Step 4: Simplify right side
   826,586x = 1,629,988,424,100
5. Step 5: Solve for x
   x = 1,629,988,424,100/826,586
6. Step 6: Final answer
   x = 1,971,952.61