Finding the Third Proportional to 686,433.50 and 1,429,682

Step by Step Solution

1. Step 1: Write the proportion equation
   686,433.50 : 1,429,682 = 1,429,682 : x
2. Step 2: Convert to fraction form
   686,433.50/1,429,682 = 1,429,682/x
3. Step 3: Cross multiply
   686,433.50x = 1,429,682 × 1,429,682
4. Step 4: Simplify right side
   686,433.50x = 2,043,990,621,124
5. Step 5: Solve for x
   x = 2,043,990,621,124/686,433.50
6. Step 6: Final answer
   x = 2,977,696.49