Finding the Third Proportional to 83,794 and 182,132

Step by Step Solution

1. Step 1: Write the proportion equation
   83,794 : 182,132 = 182,132 : x
2. Step 2: Convert to fraction form
   83,794/182,132 = 182,132/x
3. Step 3: Cross multiply
   83,794x = 182,132 × 182,132
4. Step 4: Simplify right side
   83,794x = 33,172,065,424
5. Step 5: Solve for x
   x = 33,172,065,424/83,794
6. Step 6: Final answer
   x = 395,876.38