Finding the Third Proportional to 84,686 and 182,870

Step by Step Solution

1. Step 1: Write the proportion equation
   84,686 : 182,870 = 182,870 : x
2. Step 2: Convert to fraction form
   84,686/182,870 = 182,870/x
3. Step 3: Cross multiply
   84,686x = 182,870 × 182,870
4. Step 4: Simplify right side
   84,686x = 33,441,436,900
5. Step 5: Solve for x
   x = 33,441,436,900/84,686
6. Step 6: Final answer
   x = 394,887.43