Finding the Third Proportional to 85,824 and 182,714

Step by Step Solution

1. Step 1: Write the proportion equation
   85,824 : 182,714 = 182,714 : x
2. Step 2: Convert to fraction form
   85,824/182,714 = 182,714/x
3. Step 3: Cross multiply
   85,824x = 182,714 × 182,714
4. Step 4: Simplify right side
   85,824x = 33,384,405,796
5. Step 5: Solve for x
   x = 33,384,405,796/85,824
6. Step 6: Final answer
   x = 388,986.83