Finding the Third Proportional to 338,999 and 460,404

Step by Step Solution

1. Step 1: Write the proportion equation
   338,999 : 460,404 = 460,404 : x
2. Step 2: Convert to fraction form
   338,999/460,404 = 460,404/x
3. Step 3: Cross multiply
   338,999x = 460,404 × 460,404
4. Step 4: Simplify right side
   338,999x = 211,971,843,216
5. Step 5: Solve for x
   x = 211,971,843,216/338,999
6. Step 6: Final answer
   x = 625,287.52