Finding the Third Proportional to 49,191 and 105,549

Step by Step Solution

1. Step 1: Write the proportion equation
   49,191 : 105,549 = 105,549 : x
2. Step 2: Convert to fraction form
   49,191/105,549 = 105,549/x
3. Step 3: Cross multiply
   49,191x = 105,549 × 105,549
4. Step 4: Simplify right side
   49,191x = 11,140,591,401
5. Step 5: Solve for x
   x = 11,140,591,401/49,191
6. Step 6: Final answer
   x = 226,476.21