Finding the Third Proportional to 312,786 and 682,918.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,786 : 682,918.50 = 682,918.50 : x
2. Step 2: Convert to fraction form
   312,786/682,918.50 = 682,918.50/x
3. Step 3: Cross multiply
   312,786x = 682,918.50 × 682,918.50
4. Step 4: Simplify right side
   312,786x = 466,377,677,642.25
5. Step 5: Solve for x
   x = 466,377,677,642.25/312,786
6. Step 6: Final answer
   x = 1,491,043.97