Finding the Third Proportional to 73,674 and 159,003

Step by Step Solution

1. Step 1: Write the proportion equation
   73,674 : 159,003 = 159,003 : x
2. Step 2: Convert to fraction form
   73,674/159,003 = 159,003/x
3. Step 3: Cross multiply
   73,674x = 159,003 × 159,003
4. Step 4: Simplify right side
   73,674x = 25,281,954,009
5. Step 5: Solve for x
   x = 25,281,954,009/73,674
6. Step 6: Final answer
   x = 343,159.79