Finding the Third Proportional to 229,920 and 501,216

Step by Step Solution

1. Step 1: Write the proportion equation
   229,920 : 501,216 = 501,216 : x
2. Step 2: Convert to fraction form
   229,920/501,216 = 501,216/x
3. Step 3: Cross multiply
   229,920x = 501,216 × 501,216
4. Step 4: Simplify right side
   229,920x = 251,217,478,656
5. Step 5: Solve for x
   x = 251,217,478,656/229,920
6. Step 6: Final answer
   x = 1,092,629.95