Finding the Third Proportional to 65,205 and 142,911

Step by Step Solution

1. Step 1: Write the proportion equation
   65,205 : 142,911 = 142,911 : x
2. Step 2: Convert to fraction form
   65,205/142,911 = 142,911/x
3. Step 3: Cross multiply
   65,205x = 142,911 × 142,911
4. Step 4: Simplify right side
   65,205x = 20,423,553,921
5. Step 5: Solve for x
   x = 20,423,553,921/65,205
6. Step 6: Final answer
   x = 313,220.67