Finding the Third Proportional to 83,678 and 182,118

Step by Step Solution

1. Step 1: Write the proportion equation
   83,678 : 182,118 = 182,118 : x
2. Step 2: Convert to fraction form
   83,678/182,118 = 182,118/x
3. Step 3: Cross multiply
   83,678x = 182,118 × 182,118
4. Step 4: Simplify right side
   83,678x = 33,166,965,924
5. Step 5: Solve for x
   x = 33,166,965,924/83,678
6. Step 6: Final answer
   x = 396,364.23