Finding the Third Proportional to 46,032 and 100,768

Step by Step Solution

1. Step 1: Write the proportion equation
   46,032 : 100,768 = 100,768 : x
2. Step 2: Convert to fraction form
   46,032/100,768 = 100,768/x
3. Step 3: Cross multiply
   46,032x = 100,768 × 100,768
4. Step 4: Simplify right side
   46,032x = 10,154,189,824
5. Step 5: Solve for x
   x = 10,154,189,824/46,032
6. Step 6: Final answer
   x = 220,589.80