Finding the Third Proportional to 65,905 and 144,354

Step by Step Solution

1. Step 1: Write the proportion equation
   65,905 : 144,354 = 144,354 : x
2. Step 2: Convert to fraction form
   65,905/144,354 = 144,354/x
3. Step 3: Cross multiply
   65,905x = 144,354 × 144,354
4. Step 4: Simplify right side
   65,905x = 20,838,077,316
5. Step 5: Solve for x
   x = 20,838,077,316/65,905
6. Step 6: Final answer
   x = 316,183.56