Finding the Third Proportional to 46,766 and 101,920

Step by Step Solution

1. Step 1: Write the proportion equation
   46,766 : 101,920 = 101,920 : x
2. Step 2: Convert to fraction form
   46,766/101,920 = 101,920/x
3. Step 3: Cross multiply
   46,766x = 101,920 × 101,920
4. Step 4: Simplify right side
   46,766x = 10,387,686,400
5. Step 5: Solve for x
   x = 10,387,686,400/46,766
6. Step 6: Final answer
   x = 222,120.48