Finding the Third Proportional to 82,970 and 182,067

Step by Step Solution

1. Step 1: Write the proportion equation
   82,970 : 182,067 = 182,067 : x
2. Step 2: Convert to fraction form
   82,970/182,067 = 182,067/x
3. Step 3: Cross multiply
   82,970x = 182,067 × 182,067
4. Step 4: Simplify right side
   82,970x = 33,148,392,489
5. Step 5: Solve for x
   x = 33,148,392,489/82,970
6. Step 6: Final answer
   x = 399,522.63