Finding the Third Proportional to 105,180 and 157,818

Step by Step Solution

1. Step 1: Write the proportion equation
   105,180 : 157,818 = 157,818 : x
2. Step 2: Convert to fraction form
   105,180/157,818 = 157,818/x
3. Step 3: Cross multiply
   105,180x = 157,818 × 157,818
4. Step 4: Simplify right side
   105,180x = 24,906,521,124
5. Step 5: Solve for x
   x = 24,906,521,124/105,180
6. Step 6: Final answer
   x = 236,799.02