Finding the Third Proportional to 105,144 and 157,560

Step by Step Solution

1. Step 1: Write the proportion equation
   105,144 : 157,560 = 157,560 : x
2. Step 2: Convert to fraction form
   105,144/157,560 = 157,560/x
3. Step 3: Cross multiply
   105,144x = 157,560 × 157,560
4. Step 4: Simplify right side
   105,144x = 24,825,153,600
5. Step 5: Solve for x
   x = 24,825,153,600/105,144
6. Step 6: Final answer
   x = 236,106.23