Finding the Third Proportional to 462,078 and 686,340

Step by Step Solution

1. Step 1: Write the proportion equation
   462,078 : 686,340 = 686,340 : x
2. Step 2: Convert to fraction form
   462,078/686,340 = 686,340/x
3. Step 3: Cross multiply
   462,078x = 686,340 × 686,340
4. Step 4: Simplify right side
   462,078x = 471,062,595,600
5. Step 5: Solve for x
   x = 471,062,595,600/462,078
6. Step 6: Final answer
   x = 1,019,443.89