Finding the Third Proportional to 105,923 and 233,170

Step by Step Solution

1. Step 1: Write the proportion equation
   105,923 : 233,170 = 233,170 : x
2. Step 2: Convert to fraction form
   105,923/233,170 = 233,170/x
3. Step 3: Cross multiply
   105,923x = 233,170 × 233,170
4. Step 4: Simplify right side
   105,923x = 54,368,248,900
5. Step 5: Solve for x
   x = 54,368,248,900/105,923
6. Step 6: Final answer
   x = 513,280.86