Finding the Third Proportional to 46,660 and 101,096

Step by Step Solution

1. Step 1: Write the proportion equation
   46,660 : 101,096 = 101,096 : x
2. Step 2: Convert to fraction form
   46,660/101,096 = 101,096/x
3. Step 3: Cross multiply
   46,660x = 101,096 × 101,096
4. Step 4: Simplify right side
   46,660x = 10,220,401,216
5. Step 5: Solve for x
   x = 10,220,401,216/46,660
6. Step 6: Final answer
   x = 219,039.89