Finding the Third Proportional to 49,812 and 105,348

Step by Step Solution

1. Step 1: Write the proportion equation
   49,812 : 105,348 = 105,348 : x
2. Step 2: Convert to fraction form
   49,812/105,348 = 105,348/x
3. Step 3: Cross multiply
   49,812x = 105,348 × 105,348
4. Step 4: Simplify right side
   49,812x = 11,098,201,104
5. Step 5: Solve for x
   x = 11,098,201,104/49,812
6. Step 6: Final answer
   x = 222,801.76