Finding the Third Proportional to 50,009 and 118,052

Step by Step Solution

1. Step 1: Write the proportion equation
   50,009 : 118,052 = 118,052 : x
2. Step 2: Convert to fraction form
   50,009/118,052 = 118,052/x
3. Step 3: Cross multiply
   50,009x = 118,052 × 118,052
4. Step 4: Simplify right side
   50,009x = 13,936,274,704
5. Step 5: Solve for x
   x = 13,936,274,704/50,009
6. Step 6: Final answer
   x = 278,675.33