Finding the Third Proportional to 50,106 and 116,505

Step by Step Solution

1. Step 1: Write the proportion equation
   50,106 : 116,505 = 116,505 : x
2. Step 2: Convert to fraction form
   50,106/116,505 = 116,505/x
3. Step 3: Cross multiply
   50,106x = 116,505 × 116,505
4. Step 4: Simplify right side
   50,106x = 13,573,415,025
5. Step 5: Solve for x
   x = 13,573,415,025/50,106
6. Step 6: Final answer
   x = 270,894.01