Finding the Third Proportional to 83,937 and 182,067.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,937 : 182,067.75 = 182,067.75 : x
2. Step 2: Convert to fraction form
   83,937/182,067.75 = 182,067.75/x
3. Step 3: Cross multiply
   83,937x = 182,067.75 × 182,067.75
4. Step 4: Simplify right side
   83,937x = 33,148,665,590.06
5. Step 5: Solve for x
   x = 33,148,665,590.06/83,937
6. Step 6: Final answer
   x = 394,923.16