Finding the Third Proportional to 50,684 and 117,458

Step by Step Solution

1. Step 1: Write the proportion equation
   50,684 : 117,458 = 117,458 : x
2. Step 2: Convert to fraction form
   50,684/117,458 = 117,458/x
3. Step 3: Cross multiply
   50,684x = 117,458 × 117,458
4. Step 4: Simplify right side
   50,684x = 13,796,381,764
5. Step 5: Solve for x
   x = 13,796,381,764/50,684
6. Step 6: Final answer
   x = 272,203.89