Finding the Third Proportional to 49,842 and 110,052

Step by Step Solution

1. Step 1: Write the proportion equation
   49,842 : 110,052 = 110,052 : x
2. Step 2: Convert to fraction form
   49,842/110,052 = 110,052/x
3. Step 3: Cross multiply
   49,842x = 110,052 × 110,052
4. Step 4: Simplify right side
   49,842x = 12,111,442,704
5. Step 5: Solve for x
   x = 12,111,442,704/49,842
6. Step 6: Final answer
   x = 242,996.72