Finding the Third Proportional to 686,838 and 1,504,896

Step by Step Solution

1. Step 1: Write the proportion equation
   686,838 : 1,504,896 = 1,504,896 : x
2. Step 2: Convert to fraction form
   686,838/1,504,896 = 1,504,896/x
3. Step 3: Cross multiply
   686,838x = 1,504,896 × 1,504,896
4. Step 4: Simplify right side
   686,838x = 2,264,711,970,816
5. Step 5: Solve for x
   x = 2,264,711,970,816/686,838
6. Step 6: Final answer
   x = 3,297,301.50