Finding the Third Proportional to 49,848 and 104,784

Step by Step Solution

1. Step 1: Write the proportion equation
   49,848 : 104,784 = 104,784 : x
2. Step 2: Convert to fraction form
   49,848/104,784 = 104,784/x
3. Step 3: Cross multiply
   49,848x = 104,784 × 104,784
4. Step 4: Simplify right side
   49,848x = 10,979,686,656
5. Step 5: Solve for x
   x = 10,979,686,656/49,848
6. Step 6: Final answer
   x = 220,263.33