Finding the Third Proportional to 99,981 and 159,003

Step by Step Solution

1. Step 1: Write the proportion equation
   99,981 : 159,003 = 159,003 : x
2. Step 2: Convert to fraction form
   99,981/159,003 = 159,003/x
3. Step 3: Cross multiply
   99,981x = 159,003 × 159,003
4. Step 4: Simplify right side
   99,981x = 25,281,954,009
5. Step 5: Solve for x
   x = 25,281,954,009/99,981
6. Step 6: Final answer
   x = 252,867.58