Finding the Third Proportional to 49,254 and 105,510

Step by Step Solution

1. Step 1: Write the proportion equation
   49,254 : 105,510 = 105,510 : x
2. Step 2: Convert to fraction form
   49,254/105,510 = 105,510/x
3. Step 3: Cross multiply
   49,254x = 105,510 × 105,510
4. Step 4: Simplify right side
   49,254x = 11,132,360,100
5. Step 5: Solve for x
   x = 11,132,360,100/49,254
6. Step 6: Final answer
   x = 226,019.41