Finding the Third Proportional to 49,462 and 109,980

Step by Step Solution

1. Step 1: Write the proportion equation
   49,462 : 109,980 = 109,980 : x
2. Step 2: Convert to fraction form
   49,462/109,980 = 109,980/x
3. Step 3: Cross multiply
   49,462x = 109,980 × 109,980
4. Step 4: Simplify right side
   49,462x = 12,095,600,400
5. Step 5: Solve for x
   x = 12,095,600,400/49,462
6. Step 6: Final answer
   x = 244,543.29