Finding the Third Proportional to 102,039 and 158,607

Step by Step Solution

1. Step 1: Write the proportion equation
   102,039 : 158,607 = 158,607 : x
2. Step 2: Convert to fraction form
   102,039/158,607 = 158,607/x
3. Step 3: Cross multiply
   102,039x = 158,607 × 158,607
4. Step 4: Simplify right side
   102,039x = 25,156,180,449
5. Step 5: Solve for x
   x = 25,156,180,449/102,039
6. Step 6: Final answer
   x = 246,534.96