Finding the Third Proportional to 49,434 and 116,643

Step by Step Solution

1. Step 1: Write the proportion equation
   49,434 : 116,643 = 116,643 : x
2. Step 2: Convert to fraction form
   49,434/116,643 = 116,643/x
3. Step 3: Cross multiply
   49,434x = 116,643 × 116,643
4. Step 4: Simplify right side
   49,434x = 13,605,589,449
5. Step 5: Solve for x
   x = 13,605,589,449/49,434
6. Step 6: Final answer
   x = 275,227.36