Finding the Third Proportional to 82,067.06 and 178,513.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82,067.06 : 178,513.31 = 178,513.31 : x
2. Step 2: Convert to fraction form
   82,067.06/178,513.31 = 178,513.31/x
3. Step 3: Cross multiply
   82,067.06x = 178,513.31 × 178,513.31
4. Step 4: Simplify right side
   82,067.06x = 31,867,002,739.72
5. Step 5: Solve for x
   x = 31,867,002,739.72/82,067.06
6. Step 6: Final answer
   x = 388,304.42