Finding the Third Proportional to 46,824 and 103,496

Step by Step Solution

1. Step 1: Write the proportion equation
   46,824 : 103,496 = 103,496 : x
2. Step 2: Convert to fraction form
   46,824/103,496 = 103,496/x
3. Step 3: Cross multiply
   46,824x = 103,496 × 103,496
4. Step 4: Simplify right side
   46,824x = 10,711,422,016
5. Step 5: Solve for x
   x = 10,711,422,016/46,824
6. Step 6: Final answer
   x = 228,759.23