Finding the Third Proportional to 185,870 and 395,714

Step by Step Solution

1. Step 1: Write the proportion equation
   185,870 : 395,714 = 395,714 : x
2. Step 2: Convert to fraction form
   185,870/395,714 = 395,714/x
3. Step 3: Cross multiply
   185,870x = 395,714 × 395,714
4. Step 4: Simplify right side
   185,870x = 156,589,569,796
5. Step 5: Solve for x
   x = 156,589,569,796/185,870
6. Step 6: Final answer
   x = 842,468.23