Finding the Third Proportional to 229,398 and 503,076

Step by Step Solution

1. Step 1: Write the proportion equation
   229,398 : 503,076 = 503,076 : x
2. Step 2: Convert to fraction form
   229,398/503,076 = 503,076/x
3. Step 3: Cross multiply
   229,398x = 503,076 × 503,076
4. Step 4: Simplify right side
   229,398x = 253,085,461,776
5. Step 5: Solve for x
   x = 253,085,461,776/229,398
6. Step 6: Final answer
   x = 1,103,259.23