Finding the Third Proportional to 46,500 and 101,694

Step by Step Solution

1. Step 1: Write the proportion equation
   46,500 : 101,694 = 101,694 : x
2. Step 2: Convert to fraction form
   46,500/101,694 = 101,694/x
3. Step 3: Cross multiply
   46,500x = 101,694 × 101,694
4. Step 4: Simplify right side
   46,500x = 10,341,669,636
5. Step 5: Solve for x
   x = 10,341,669,636/46,500
6. Step 6: Final answer
   x = 222,401.50