Finding the Third Proportional to 50,101 and 116,503

Step by Step Solution

1. Step 1: Write the proportion equation
   50,101 : 116,503 = 116,503 : x
2. Step 2: Convert to fraction form
   50,101/116,503 = 116,503/x
3. Step 3: Cross multiply
   50,101x = 116,503 × 116,503
4. Step 4: Simplify right side
   50,101x = 13,572,949,009
5. Step 5: Solve for x
   x = 13,572,949,009/50,101
6. Step 6: Final answer
   x = 270,911.74