Finding the Third Proportional to 65,808 and 144,116

Step by Step Solution

1. Step 1: Write the proportion equation
   65,808 : 144,116 = 144,116 : x
2. Step 2: Convert to fraction form
   65,808/144,116 = 144,116/x
3. Step 3: Cross multiply
   65,808x = 144,116 × 144,116
4. Step 4: Simplify right side
   65,808x = 20,769,421,456
5. Step 5: Solve for x
   x = 20,769,421,456/65,808
6. Step 6: Final answer
   x = 315,606.33