Finding the Third Proportional to 49,842 and 105,300

Step by Step Solution

1. Step 1: Write the proportion equation
   49,842 : 105,300 = 105,300 : x
2. Step 2: Convert to fraction form
   49,842/105,300 = 105,300/x
3. Step 3: Cross multiply
   49,842x = 105,300 × 105,300
4. Step 4: Simplify right side
   49,842x = 11,088,090,000
5. Step 5: Solve for x
   x = 11,088,090,000/49,842
6. Step 6: Final answer
   x = 222,464.79