Finding the Third Proportional to 686,844 and 1,510,716

Step by Step Solution

1. Step 1: Write the proportion equation
   686,844 : 1,510,716 = 1,510,716 : x
2. Step 2: Convert to fraction form
   686,844/1,510,716 = 1,510,716/x
3. Step 3: Cross multiply
   686,844x = 1,510,716 × 1,510,716
4. Step 4: Simplify right side
   686,844x = 2,282,262,832,656
5. Step 5: Solve for x
   x = 2,282,262,832,656/686,844
6. Step 6: Final answer
   x = 3,322,825.61