Finding the Third Proportional to 49,638 and 108,012

Step by Step Solution

1. Step 1: Write the proportion equation
   49,638 : 108,012 = 108,012 : x
2. Step 2: Convert to fraction form
   49,638/108,012 = 108,012/x
3. Step 3: Cross multiply
   49,638x = 108,012 × 108,012
4. Step 4: Simplify right side
   49,638x = 11,666,592,144
5. Step 5: Solve for x
   x = 11,666,592,144/49,638
6. Step 6: Final answer
   x = 235,033.49