Finding the Third Proportional to 107,049 and 233,166

Step by Step Solution

1. Step 1: Write the proportion equation
   107,049 : 233,166 = 233,166 : x
2. Step 2: Convert to fraction form
   107,049/233,166 = 233,166/x
3. Step 3: Cross multiply
   107,049x = 233,166 × 233,166
4. Step 4: Simplify right side
   107,049x = 54,366,383,556
5. Step 5: Solve for x
   x = 54,366,383,556/107,049
6. Step 6: Final answer
   x = 507,864.47