Finding the Third Proportional to 314,958 and 682,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,958 : 682,405.50 = 682,405.50 : x
2. Step 2: Convert to fraction form
   314,958/682,405.50 = 682,405.50/x
3. Step 3: Cross multiply
   314,958x = 682,405.50 × 682,405.50
4. Step 4: Simplify right side
   314,958x = 465,677,266,430.25
5. Step 5: Solve for x
   x = 465,677,266,430.25/314,958
6. Step 6: Final answer
   x = 1,478,537.67