Finding the Third Proportional to 106,468 and 231,824

Step by Step Solution

1. Step 1: Write the proportion equation
   106,468 : 231,824 = 231,824 : x
2. Step 2: Convert to fraction form
   106,468/231,824 = 231,824/x
3. Step 3: Cross multiply
   106,468x = 231,824 × 231,824
4. Step 4: Simplify right side
   106,468x = 53,742,366,976
5. Step 5: Solve for x
   x = 53,742,366,976/106,468
6. Step 6: Final answer
   x = 504,774.83