Finding the Third Proportional to 686,838 and 1,510,704

Step by Step Solution

1. Step 1: Write the proportion equation
   686,838 : 1,510,704 = 1,510,704 : x
2. Step 2: Convert to fraction form
   686,838/1,510,704 = 1,510,704/x
3. Step 3: Cross multiply
   686,838x = 1,510,704 × 1,510,704
4. Step 4: Simplify right side
   686,838x = 2,282,226,575,616
5. Step 5: Solve for x
   x = 2,282,226,575,616/686,838
6. Step 6: Final answer
   x = 3,322,801.85