Finding the Third Proportional to 365,823 and 782,493.75

Step by Step Solution

1. Step 1: Write the proportion equation
   365,823 : 782,493.75 = 782,493.75 : x
2. Step 2: Convert to fraction form
   365,823/782,493.75 = 782,493.75/x
3. Step 3: Cross multiply
   365,823x = 782,493.75 × 782,493.75
4. Step 4: Simplify right side
   365,823x = 612,296,468,789.06
5. Step 5: Solve for x
   x = 612,296,468,789.06/365,823
6. Step 6: Final answer
   x = 1,673,750.61