Finding the Third Proportional to 774,724 and 1,686,632

Step by Step Solution

1. Step 1: Write the proportion equation
   774,724 : 1,686,632 = 1,686,632 : x
2. Step 2: Convert to fraction form
   774,724/1,686,632 = 1,686,632/x
3. Step 3: Cross multiply
   774,724x = 1,686,632 × 1,686,632
4. Step 4: Simplify right side
   774,724x = 2,844,727,503,424
5. Step 5: Solve for x
   x = 2,844,727,503,424/774,724
6. Step 6: Final answer
   x = 3,671,923.81