Finding the Third Proportional to 65,286 and 142,872.75

Step by Step Solution

1. Step 1: Write the proportion equation
   65,286 : 142,872.75 = 142,872.75 : x
2. Step 2: Convert to fraction form
   65,286/142,872.75 = 142,872.75/x
3. Step 3: Cross multiply
   65,286x = 142,872.75 × 142,872.75
4. Step 4: Simplify right side
   65,286x = 20,412,622,692.56
5. Step 5: Solve for x
   x = 20,412,622,692.56/65,286
6. Step 6: Final answer
   x = 312,664.62