Finding the Third Proportional to 50,146 and 106,790

Step by Step Solution

1. Step 1: Write the proportion equation
   50,146 : 106,790 = 106,790 : x
2. Step 2: Convert to fraction form
   50,146/106,790 = 106,790/x
3. Step 3: Cross multiply
   50,146x = 106,790 × 106,790
4. Step 4: Simplify right side
   50,146x = 11,404,104,100
5. Step 5: Solve for x
   x = 11,404,104,100/50,146
6. Step 6: Final answer
   x = 227,418.02