Finding the Third Proportional to 49,637 and 108,020

Step by Step Solution

1. Step 1: Write the proportion equation
   49,637 : 108,020 = 108,020 : x
2. Step 2: Convert to fraction form
   49,637/108,020 = 108,020/x
3. Step 3: Cross multiply
   49,637x = 108,020 × 108,020
4. Step 4: Simplify right side
   49,637x = 11,668,320,400
5. Step 5: Solve for x
   x = 11,668,320,400/49,637
6. Step 6: Final answer
   x = 235,073.04