Finding the Third Proportional to 50,164 and 118,846

Step by Step Solution

1. Step 1: Write the proportion equation
   50,164 : 118,846 = 118,846 : x
2. Step 2: Convert to fraction form
   50,164/118,846 = 118,846/x
3. Step 3: Cross multiply
   50,164x = 118,846 × 118,846
4. Step 4: Simplify right side
   50,164x = 14,124,371,716
5. Step 5: Solve for x
   x = 14,124,371,716/50,164
6. Step 6: Final answer
   x = 281,563.90