Finding the Third Proportional to 65,646 and 144,003

Step by Step Solution

1. Step 1: Write the proportion equation
   65,646 : 144,003 = 144,003 : x
2. Step 2: Convert to fraction form
   65,646/144,003 = 144,003/x
3. Step 3: Cross multiply
   65,646x = 144,003 × 144,003
4. Step 4: Simplify right side
   65,646x = 20,736,864,009
5. Step 5: Solve for x
   x = 20,736,864,009/65,646
6. Step 6: Final answer
   x = 315,889.22