Finding the Third Proportional to 49,188 and 105,543

Step by Step Solution

1. Step 1: Write the proportion equation
   49,188 : 105,543 = 105,543 : x
2. Step 2: Convert to fraction form
   49,188/105,543 = 105,543/x
3. Step 3: Cross multiply
   49,188x = 105,543 × 105,543
4. Step 4: Simplify right side
   49,188x = 11,139,324,849
5. Step 5: Solve for x
   x = 11,139,324,849/49,188
6. Step 6: Final answer
   x = 226,464.28