Finding the Third Proportional to 106,080 and 231,096

Step by Step Solution

1. Step 1: Write the proportion equation
   106,080 : 231,096 = 231,096 : x
2. Step 2: Convert to fraction form
   106,080/231,096 = 231,096/x
3. Step 3: Cross multiply
   106,080x = 231,096 × 231,096
4. Step 4: Simplify right side
   106,080x = 53,405,361,216
5. Step 5: Solve for x
   x = 53,405,361,216/106,080
6. Step 6: Final answer
   x = 503,444.20