Finding the Third Proportional to 83,877 and 182,520

Step by Step Solution

1. Step 1: Write the proportion equation
   83,877 : 182,520 = 182,520 : x
2. Step 2: Convert to fraction form
   83,877/182,520 = 182,520/x
3. Step 3: Cross multiply
   83,877x = 182,520 × 182,520
4. Step 4: Simplify right side
   83,877x = 33,313,550,400
5. Step 5: Solve for x
   x = 33,313,550,400/83,877
6. Step 6: Final answer
   x = 397,171.46