Finding the Third Proportional to 49,392 and 116,546

Step by Step Solution

1. Step 1: Write the proportion equation
   49,392 : 116,546 = 116,546 : x
2. Step 2: Convert to fraction form
   49,392/116,546 = 116,546/x
3. Step 3: Cross multiply
   49,392x = 116,546 × 116,546
4. Step 4: Simplify right side
   49,392x = 13,582,970,116
5. Step 5: Solve for x
   x = 13,582,970,116/49,392
6. Step 6: Final answer
   x = 275,003.44