Finding the Third Proportional to 46,736 and 101,008

Step by Step Solution

1. Step 1: Write the proportion equation
   46,736 : 101,008 = 101,008 : x
2. Step 2: Convert to fraction form
   46,736/101,008 = 101,008/x
3. Step 3: Cross multiply
   46,736x = 101,008 × 101,008
4. Step 4: Simplify right side
   46,736x = 10,202,616,064
5. Step 5: Solve for x
   x = 10,202,616,064/46,736
6. Step 6: Final answer
   x = 218,303.15