Finding the Third Proportional to 65,866 and 144,224

Step by Step Solution

1. Step 1: Write the proportion equation
   65,866 : 144,224 = 144,224 : x
2. Step 2: Convert to fraction form
   65,866/144,224 = 144,224/x
3. Step 3: Cross multiply
   65,866x = 144,224 × 144,224
4. Step 4: Simplify right side
   65,866x = 20,800,562,176
5. Step 5: Solve for x
   x = 20,800,562,176/65,866
6. Step 6: Final answer
   x = 315,801.21