Finding the Third Proportional to 102,150 and 158,536

Step by Step Solution

1. Step 1: Write the proportion equation
   102,150 : 158,536 = 158,536 : x
2. Step 2: Convert to fraction form
   102,150/158,536 = 158,536/x
3. Step 3: Cross multiply
   102,150x = 158,536 × 158,536
4. Step 4: Simplify right side
   102,150x = 25,133,663,296
5. Step 5: Solve for x
   x = 25,133,663,296/102,150
6. Step 6: Final answer
   x = 246,046.63