Finding the Third Proportional to 295,596.50 and 646,404

Step by Step Solution

1. Step 1: Write the proportion equation
   295,596.50 : 646,404 = 646,404 : x
2. Step 2: Convert to fraction form
   295,596.50/646,404 = 646,404/x
3. Step 3: Cross multiply
   295,596.50x = 646,404 × 646,404
4. Step 4: Simplify right side
   295,596.50x = 417,838,131,216
5. Step 5: Solve for x
   x = 417,838,131,216/295,596.50
6. Step 6: Final answer
   x = 1,413,542.21