Finding the Third Proportional to 83,928 and 182,345

Step by Step Solution

1. Step 1: Write the proportion equation
   83,928 : 182,345 = 182,345 : x
2. Step 2: Convert to fraction form
   83,928/182,345 = 182,345/x
3. Step 3: Cross multiply
   83,928x = 182,345 × 182,345
4. Step 4: Simplify right side
   83,928x = 33,249,699,025
5. Step 5: Solve for x
   x = 33,249,699,025/83,928
6. Step 6: Final answer
   x = 396,169.32