Finding the Third Proportional to 787,214 and 1,686,412

Step by Step Solution

1. Step 1: Write the proportion equation
   787,214 : 1,686,412 = 1,686,412 : x
2. Step 2: Convert to fraction form
   787,214/1,686,412 = 1,686,412/x
3. Step 3: Cross multiply
   787,214x = 1,686,412 × 1,686,412
4. Step 4: Simplify right side
   787,214x = 2,843,985,433,744
5. Step 5: Solve for x
   x = 2,843,985,433,744/787,214
6. Step 6: Final answer
   x = 3,612,722.12