Finding the Third Proportional to 105,911 and 157,042

Step by Step Solution

1. Step 1: Write the proportion equation
   105,911 : 157,042 = 157,042 : x
2. Step 2: Convert to fraction form
   105,911/157,042 = 157,042/x
3. Step 3: Cross multiply
   105,911x = 157,042 × 157,042
4. Step 4: Simplify right side
   105,911x = 24,662,189,764
5. Step 5: Solve for x
   x = 24,662,189,764/105,911
6. Step 6: Final answer
   x = 232,857.68