Finding the Third Proportional to 49,132 and 105,274

Step by Step Solution

1. Step 1: Write the proportion equation
   49,132 : 105,274 = 105,274 : x
2. Step 2: Convert to fraction form
   49,132/105,274 = 105,274/x
3. Step 3: Cross multiply
   49,132x = 105,274 × 105,274
4. Step 4: Simplify right side
   49,132x = 11,082,615,076
5. Step 5: Solve for x
   x = 11,082,615,076/49,132
6. Step 6: Final answer
   x = 225,568.16