Finding the Third Proportional to 49,629 and 108,006

Step by Step Solution

1. Step 1: Write the proportion equation
   49,629 : 108,006 = 108,006 : x
2. Step 2: Convert to fraction form
   49,629/108,006 = 108,006/x
3. Step 3: Cross multiply
   49,629x = 108,006 × 108,006
4. Step 4: Simplify right side
   49,629x = 11,665,296,036
5. Step 5: Solve for x
   x = 11,665,296,036/49,629
6. Step 6: Final answer
   x = 235,049.99