Finding the Third Proportional to 49,848 and 105,312

Step by Step Solution

1. Step 1: Write the proportion equation
   49,848 : 105,312 = 105,312 : x
2. Step 2: Convert to fraction form
   49,848/105,312 = 105,312/x
3. Step 3: Cross multiply
   49,848x = 105,312 × 105,312
4. Step 4: Simplify right side
   49,848x = 11,090,617,344
5. Step 5: Solve for x
   x = 11,090,617,344/49,848
6. Step 6: Final answer
   x = 222,488.71