Finding the Third Proportional to 50,066 and 101,513

Step by Step Solution

1. Step 1: Write the proportion equation
   50,066 : 101,513 = 101,513 : x
2. Step 2: Convert to fraction form
   50,066/101,513 = 101,513/x
3. Step 3: Cross multiply
   50,066x = 101,513 × 101,513
4. Step 4: Simplify right side
   50,066x = 10,304,889,169
5. Step 5: Solve for x
   x = 10,304,889,169/50,066
6. Step 6: Final answer
   x = 205,826.09