Finding the Third Proportional to 106,544 and 233,824

Step by Step Solution

1. Step 1: Write the proportion equation
   106,544 : 233,824 = 233,824 : x
2. Step 2: Convert to fraction form
   106,544/233,824 = 233,824/x
3. Step 3: Cross multiply
   106,544x = 233,824 × 233,824
4. Step 4: Simplify right side
   106,544x = 54,673,662,976
5. Step 5: Solve for x
   x = 54,673,662,976/106,544
6. Step 6: Final answer
   x = 513,155.72