Finding the Third Proportional to 46,618 and 101,513

Step by Step Solution

1. Step 1: Write the proportion equation
   46,618 : 101,513 = 101,513 : x
2. Step 2: Convert to fraction form
   46,618/101,513 = 101,513/x
3. Step 3: Cross multiply
   46,618x = 101,513 × 101,513
4. Step 4: Simplify right side
   46,618x = 10,304,889,169
5. Step 5: Solve for x
   x = 10,304,889,169/46,618
6. Step 6: Final answer
   x = 221,049.58