Finding the Third Proportional to 83,928 and 186,504

Step by Step Solution

1. Step 1: Write the proportion equation
   83,928 : 186,504 = 186,504 : x
2. Step 2: Convert to fraction form
   83,928/186,504 = 186,504/x
3. Step 3: Cross multiply
   83,928x = 186,504 × 186,504
4. Step 4: Simplify right side
   83,928x = 34,783,742,016
5. Step 5: Solve for x
   x = 34,783,742,016/83,928
6. Step 6: Final answer
   x = 414,447.41