Finding the Third Proportional to 105,921 and 233,166

Step by Step Solution

1. Step 1: Write the proportion equation
   105,921 : 233,166 = 233,166 : x
2. Step 2: Convert to fraction form
   105,921/233,166 = 233,166/x
3. Step 3: Cross multiply
   105,921x = 233,166 × 233,166
4. Step 4: Simplify right side
   105,921x = 54,366,383,556
5. Step 5: Solve for x
   x = 54,366,383,556/105,921
6. Step 6: Final answer
   x = 513,272.94