Finding the Third Proportional to 49,867 and 117,333

Step by Step Solution

1. Step 1: Write the proportion equation
   49,867 : 117,333 = 117,333 : x
2. Step 2: Convert to fraction form
   49,867/117,333 = 117,333/x
3. Step 3: Cross multiply
   49,867x = 117,333 × 117,333
4. Step 4: Simplify right side
   49,867x = 13,767,032,889
5. Step 5: Solve for x
   x = 13,767,032,889/49,867
6. Step 6: Final answer
   x = 276,075.02