Finding the Third Proportional to 46,736 and 101,930

Step by Step Solution

1. Step 1: Write the proportion equation
   46,736 : 101,930 = 101,930 : x
2. Step 2: Convert to fraction form
   46,736/101,930 = 101,930/x
3. Step 3: Cross multiply
   46,736x = 101,930 × 101,930
4. Step 4: Simplify right side
   46,736x = 10,389,724,900
5. Step 5: Solve for x
   x = 10,389,724,900/46,736
6. Step 6: Final answer
   x = 222,306.68