Finding the Third Proportional to 65,805 and 144,726

Step by Step Solution

1. Step 1: Write the proportion equation
   65,805 : 144,726 = 144,726 : x
2. Step 2: Convert to fraction form
   65,805/144,726 = 144,726/x
3. Step 3: Cross multiply
   65,805x = 144,726 × 144,726
4. Step 4: Simplify right side
   65,805x = 20,945,615,076
5. Step 5: Solve for x
   x = 20,945,615,076/65,805
6. Step 6: Final answer
   x = 318,298.23