Finding the Third Proportional to 46,768 and 101,924

Step by Step Solution

1. Step 1: Write the proportion equation
   46,768 : 101,924 = 101,924 : x
2. Step 2: Convert to fraction form
   46,768/101,924 = 101,924/x
3. Step 3: Cross multiply
   46,768x = 101,924 × 101,924
4. Step 4: Simplify right side
   46,768x = 10,388,501,776
5. Step 5: Solve for x
   x = 10,388,501,776/46,768
6. Step 6: Final answer
   x = 222,128.42