Finding the Third Proportional to 81,900 and 173,643

Step by Step Solution

1. Step 1: Write the proportion equation
   81,900 : 173,643 = 173,643 : x
2. Step 2: Convert to fraction form
   81,900/173,643 = 173,643/x
3. Step 3: Cross multiply
   81,900x = 173,643 × 173,643
4. Step 4: Simplify right side
   81,900x = 30,151,891,449
5. Step 5: Solve for x
   x = 30,151,891,449/81,900
6. Step 6: Final answer
   x = 368,154.96