Finding the Third Proportional to 102,152 and 158,538

Step by Step Solution

1. Step 1: Write the proportion equation
   102,152 : 158,538 = 158,538 : x
2. Step 2: Convert to fraction form
   102,152/158,538 = 158,538/x
3. Step 3: Cross multiply
   102,152x = 158,538 × 158,538
4. Step 4: Simplify right side
   102,152x = 25,134,297,444
5. Step 5: Solve for x
   x = 25,134,297,444/102,152
6. Step 6: Final answer
   x = 246,048.02