Finding the Third Proportional to 49,648 and 108,033

Step by Step Solution

1. Step 1: Write the proportion equation
   49,648 : 108,033 = 108,033 : x
2. Step 2: Convert to fraction form
   49,648/108,033 = 108,033/x
3. Step 3: Cross multiply
   49,648x = 108,033 × 108,033
4. Step 4: Simplify right side
   49,648x = 11,671,129,089
5. Step 5: Solve for x
   x = 11,671,129,089/49,648
6. Step 6: Final answer
   x = 235,077.53