Finding the Third Proportional to 686,835 and 1,510,698

Step by Step Solution

1. Step 1: Write the proportion equation
   686,835 : 1,510,698 = 1,510,698 : x
2. Step 2: Convert to fraction form
   686,835/1,510,698 = 1,510,698/x
3. Step 3: Cross multiply
   686,835x = 1,510,698 × 1,510,698
4. Step 4: Simplify right side
   686,835x = 2,282,208,447,204
5. Step 5: Solve for x
   x = 2,282,208,447,204/686,835
6. Step 6: Final answer
   x = 3,322,789.97