Finding the Third Proportional to 83,488 and 173,872

Step by Step Solution

1. Step 1: Write the proportion equation
   83,488 : 173,872 = 173,872 : x
2. Step 2: Convert to fraction form
   83,488/173,872 = 173,872/x
3. Step 3: Cross multiply
   83,488x = 173,872 × 173,872
4. Step 4: Simplify right side
   83,488x = 30,231,472,384
5. Step 5: Solve for x
   x = 30,231,472,384/83,488
6. Step 6: Final answer
   x = 362,105.60