Finding the Third Proportional to 65,869 and 144,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,869 : 144,859.50 = 144,859.50 : x
2. Step 2: Convert to fraction form
   65,869/144,859.50 = 144,859.50/x
3. Step 3: Cross multiply
   65,869x = 144,859.50 × 144,859.50
4. Step 4: Simplify right side
   65,869x = 20,984,274,740.25
5. Step 5: Solve for x
   x = 20,984,274,740.25/65,869
6. Step 6: Final answer
   x = 318,575.88