Finding the Third Proportional to 46,296 and 101,304

Step by Step Solution

1. Step 1: Write the proportion equation
   46,296 : 101,304 = 101,304 : x
2. Step 2: Convert to fraction form
   46,296/101,304 = 101,304/x
3. Step 3: Cross multiply
   46,296x = 101,304 × 101,304
4. Step 4: Simplify right side
   46,296x = 10,262,500,416
5. Step 5: Solve for x
   x = 10,262,500,416/46,296
6. Step 6: Final answer
   x = 221,671.43