Finding the Third Proportional to 363,852 and 782,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,852 : 782,425.50 = 782,425.50 : x
2. Step 2: Convert to fraction form
   363,852/782,425.50 = 782,425.50/x
3. Step 3: Cross multiply
   363,852x = 782,425.50 × 782,425.50
4. Step 4: Simplify right side
   363,852x = 612,189,663,050.25
5. Step 5: Solve for x
   x = 612,189,663,050.25/363,852
6. Step 6: Final answer
   x = 1,682,523.84