Finding the Third Proportional to 353,128.50 and 522,825

Step by Step Solution

1. Step 1: Write the proportion equation
   353,128.50 : 522,825 = 522,825 : x
2. Step 2: Convert to fraction form
   353,128.50/522,825 = 522,825/x
3. Step 3: Cross multiply
   353,128.50x = 522,825 × 522,825
4. Step 4: Simplify right side
   353,128.50x = 273,345,980,625
5. Step 5: Solve for x
   x = 273,345,980,625/353,128.50
6. Step 6: Final answer
   x = 774,069.44