Finding the Third Proportional to 83,417 and 179,955

Step by Step Solution

1. Step 1: Write the proportion equation
   83,417 : 179,955 = 179,955 : x
2. Step 2: Convert to fraction form
   83,417/179,955 = 179,955/x
3. Step 3: Cross multiply
   83,417x = 179,955 × 179,955
4. Step 4: Simplify right side
   83,417x = 32,383,802,025
5. Step 5: Solve for x
   x = 32,383,802,025/83,417
6. Step 6: Final answer
   x = 388,215.86