Finding the Third Proportional to 83,447 and 173,796

Step by Step Solution

1. Step 1: Write the proportion equation
   83,447 : 173,796 = 173,796 : x
2. Step 2: Convert to fraction form
   83,447/173,796 = 173,796/x
3. Step 3: Cross multiply
   83,447x = 173,796 × 173,796
4. Step 4: Simplify right side
   83,447x = 30,205,049,616
5. Step 5: Solve for x
   x = 30,205,049,616/83,447
6. Step 6: Final answer
   x = 361,966.87