Finding the Third Proportional to 102,146 and 158,530

Step by Step Solution

1. Step 1: Write the proportion equation
   102,146 : 158,530 = 158,530 : x
2. Step 2: Convert to fraction form
   102,146/158,530 = 158,530/x
3. Step 3: Cross multiply
   102,146x = 158,530 × 158,530
4. Step 4: Simplify right side
   102,146x = 25,131,760,900
5. Step 5: Solve for x
   x = 25,131,760,900/102,146
6. Step 6: Final answer
   x = 246,037.64