Finding the Third Proportional to 309,675 and 682,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,675 : 682,213.50 = 682,213.50 : x
2. Step 2: Convert to fraction form
   309,675/682,213.50 = 682,213.50/x
3. Step 3: Cross multiply
   309,675x = 682,213.50 × 682,213.50
4. Step 4: Simplify right side
   309,675x = 465,415,259,582.25
5. Step 5: Solve for x
   x = 465,415,259,582.25/309,675
6. Step 6: Final answer
   x = 1,502,915.18