Finding the Third Proportional to 49,874 and 109,132

Step by Step Solution

1. Step 1: Write the proportion equation
   49,874 : 109,132 = 109,132 : x
2. Step 2: Convert to fraction form
   49,874/109,132 = 109,132/x
3. Step 3: Cross multiply
   49,874x = 109,132 × 109,132
4. Step 4: Simplify right side
   49,874x = 11,909,793,424
5. Step 5: Solve for x
   x = 11,909,793,424/49,874
6. Step 6: Final answer
   x = 238,797.64