Finding the Third Proportional to 50,174 and 117,536

Step by Step Solution

1. Step 1: Write the proportion equation
   50,174 : 117,536 = 117,536 : x
2. Step 2: Convert to fraction form
   50,174/117,536 = 117,536/x
3. Step 3: Cross multiply
   50,174x = 117,536 × 117,536
4. Step 4: Simplify right side
   50,174x = 13,814,711,296
5. Step 5: Solve for x
   x = 13,814,711,296/50,174
6. Step 6: Final answer
   x = 275,336.06