Finding the Third Proportional to 311,946 and 682,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,946 : 682,063.50 = 682,063.50 : x
2. Step 2: Convert to fraction form
   311,946/682,063.50 = 682,063.50/x
3. Step 3: Cross multiply
   311,946x = 682,063.50 × 682,063.50
4. Step 4: Simplify right side
   311,946x = 465,210,618,032.25
5. Step 5: Solve for x
   x = 465,210,618,032.25/311,946
6. Step 6: Final answer
   x = 1,491,317.79