Finding the Third Proportional to 50,102 and 116,495

Step by Step Solution

1. Step 1: Write the proportion equation
   50,102 : 116,495 = 116,495 : x
2. Step 2: Convert to fraction form
   50,102/116,495 = 116,495/x
3. Step 3: Cross multiply
   50,102x = 116,495 × 116,495
4. Step 4: Simplify right side
   50,102x = 13,571,085,025
5. Step 5: Solve for x
   x = 13,571,085,025/50,102
6. Step 6: Final answer
   x = 270,869.13