Finding the Third Proportional to 49,578 and 108,543

Step by Step Solution

1. Step 1: Write the proportion equation
   49,578 : 108,543 = 108,543 : x
2. Step 2: Convert to fraction form
   49,578/108,543 = 108,543/x
3. Step 3: Cross multiply
   49,578x = 108,543 × 108,543
4. Step 4: Simplify right side
   49,578x = 11,781,582,849
5. Step 5: Solve for x
   x = 11,781,582,849/49,578
6. Step 6: Final answer
   x = 237,637.32