Finding the Third Proportional to 102,144 and 158,529

Step by Step Solution

1. Step 1: Write the proportion equation
   102,144 : 158,529 = 158,529 : x
2. Step 2: Convert to fraction form
   102,144/158,529 = 158,529/x
3. Step 3: Cross multiply
   102,144x = 158,529 × 158,529
4. Step 4: Simplify right side
   102,144x = 25,131,443,841
5. Step 5: Solve for x
   x = 25,131,443,841/102,144
6. Step 6: Final answer
   x = 246,039.35