Finding the Third Proportional to 98,662 and 158,895

Step by Step Solution

1. Step 1: Write the proportion equation
   98,662 : 158,895 = 158,895 : x
2. Step 2: Convert to fraction form
   98,662/158,895 = 158,895/x
3. Step 3: Cross multiply
   98,662x = 158,895 × 158,895
4. Step 4: Simplify right side
   98,662x = 25,247,621,025
5. Step 5: Solve for x
   x = 25,247,621,025/98,662
6. Step 6: Final answer
   x = 255,900.15