Finding the Third Proportional to 102,488 and 155,096

Step by Step Solution

1. Step 1: Write the proportion equation
   102,488 : 155,096 = 155,096 : x
2. Step 2: Convert to fraction form
   102,488/155,096 = 155,096/x
3. Step 3: Cross multiply
   102,488x = 155,096 × 155,096
4. Step 4: Simplify right side
   102,488x = 24,054,769,216
5. Step 5: Solve for x
   x = 24,054,769,216/102,488
6. Step 6: Final answer
   x = 234,708.15