Finding the Third Proportional to 106,752 and 231,036

Step by Step Solution

1. Step 1: Write the proportion equation
   106,752 : 231,036 = 231,036 : x
2. Step 2: Convert to fraction form
   106,752/231,036 = 231,036/x
3. Step 3: Cross multiply
   106,752x = 231,036 × 231,036
4. Step 4: Simplify right side
   106,752x = 53,377,633,296
5. Step 5: Solve for x
   x = 53,377,633,296/106,752
6. Step 6: Final answer
   x = 500,015.30