Finding the Third Proportional to 185,933 and 382,870

Step by Step Solution

1. Step 1: Write the proportion equation
   185,933 : 382,870 = 382,870 : x
2. Step 2: Convert to fraction form
   185,933/382,870 = 382,870/x
3. Step 3: Cross multiply
   185,933x = 382,870 × 382,870
4. Step 4: Simplify right side
   185,933x = 146,589,436,900
5. Step 5: Solve for x
   x = 146,589,436,900/185,933
6. Step 6: Final answer
   x = 788,399.25