Finding the Third Proportional to 359,296 and 782,379.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,296 : 782,379.50 = 782,379.50 : x
2. Step 2: Convert to fraction form
   359,296/782,379.50 = 782,379.50/x
3. Step 3: Cross multiply
   359,296x = 782,379.50 × 782,379.50
4. Step 4: Simplify right side
   359,296x = 612,117,682,020.25
5. Step 5: Solve for x
   x = 612,117,682,020.25/359,296
6. Step 6: Final answer
   x = 1,703,658.49