Finding the Third Proportional to 326,976 and 439,404

Step by Step Solution

1. Step 1: Write the proportion equation
   326,976 : 439,404 = 439,404 : x
2. Step 2: Convert to fraction form
   326,976/439,404 = 439,404/x
3. Step 3: Cross multiply
   326,976x = 439,404 × 439,404
4. Step 4: Simplify right side
   326,976x = 193,075,875,216
5. Step 5: Solve for x
   x = 193,075,875,216/326,976
6. Step 6: Final answer
   x = 590,489.44