Finding the Third Proportional to 85,974 and 182,388

Step by Step Solution

1. Step 1: Write the proportion equation
   85,974 : 182,388 = 182,388 : x
2. Step 2: Convert to fraction form
   85,974/182,388 = 182,388/x
3. Step 3: Cross multiply
   85,974x = 182,388 × 182,388
4. Step 4: Simplify right side
   85,974x = 33,265,382,544
5. Step 5: Solve for x
   x = 33,265,382,544/85,974
6. Step 6: Final answer
   x = 386,923.75