Finding the Third Proportional to 147,714 and 322,504

Step by Step Solution

1. Step 1: Write the proportion equation
   147,714 : 322,504 = 322,504 : x
2. Step 2: Convert to fraction form
   147,714/322,504 = 322,504/x
3. Step 3: Cross multiply
   147,714x = 322,504 × 322,504
4. Step 4: Simplify right side
   147,714x = 104,008,830,016
5. Step 5: Solve for x
   x = 104,008,830,016/147,714
6. Step 6: Final answer
   x = 704,123.04