Finding the Third Proportional to 105,111 and 157,689

Step by Step Solution

1. Step 1: Write the proportion equation
   105,111 : 157,689 = 157,689 : x
2. Step 2: Convert to fraction form
   105,111/157,689 = 157,689/x
3. Step 3: Cross multiply
   105,111x = 157,689 × 157,689
4. Step 4: Simplify right side
   105,111x = 24,865,820,721
5. Step 5: Solve for x
   x = 24,865,820,721/105,111
6. Step 6: Final answer
   x = 236,567.25