Finding the Third Proportional to 65,209 and 142,919

Step by Step Solution

1. Step 1: Write the proportion equation
   65,209 : 142,919 = 142,919 : x
2. Step 2: Convert to fraction form
   65,209/142,919 = 142,919/x
3. Step 3: Cross multiply
   65,209x = 142,919 × 142,919
4. Step 4: Simplify right side
   65,209x = 20,425,840,561
5. Step 5: Solve for x
   x = 20,425,840,561/65,209
6. Step 6: Final answer
   x = 313,236.53