Finding the Third Proportional to 238,714 and 502,004

Step by Step Solution

1. Step 1: Write the proportion equation
   238,714 : 502,004 = 502,004 : x
2. Step 2: Convert to fraction form
   238,714/502,004 = 502,004/x
3. Step 3: Cross multiply
   238,714x = 502,004 × 502,004
4. Step 4: Simplify right side
   238,714x = 252,008,016,016
5. Step 5: Solve for x
   x = 252,008,016,016/238,714
6. Step 6: Final answer
   x = 1,055,690.14