Finding the Third Proportional to 81,804 and 173,496

Step by Step Solution

1. Step 1: Write the proportion equation
   81,804 : 173,496 = 173,496 : x
2. Step 2: Convert to fraction form
   81,804/173,496 = 173,496/x
3. Step 3: Cross multiply
   81,804x = 173,496 × 173,496
4. Step 4: Simplify right side
   81,804x = 30,100,862,016
5. Step 5: Solve for x
   x = 30,100,862,016/81,804
6. Step 6: Final answer
   x = 367,963.20