Finding the Third Proportional to 83,921 and 182,062

Step by Step Solution

1. Step 1: Write the proportion equation
   83,921 : 182,062 = 182,062 : x
2. Step 2: Convert to fraction form
   83,921/182,062 = 182,062/x
3. Step 3: Cross multiply
   83,921x = 182,062 × 182,062
4. Step 4: Simplify right side
   83,921x = 33,146,571,844
5. Step 5: Solve for x
   x = 33,146,571,844/83,921
6. Step 6: Final answer
   x = 394,973.51