Finding the Third Proportional to 65,720 and 142,511

Step by Step Solution

1. Step 1: Write the proportion equation
   65,720 : 142,511 = 142,511 : x
2. Step 2: Convert to fraction form
   65,720/142,511 = 142,511/x
3. Step 3: Cross multiply
   65,720x = 142,511 × 142,511
4. Step 4: Simplify right side
   65,720x = 20,309,385,121
5. Step 5: Solve for x
   x = 20,309,385,121/65,720
6. Step 6: Final answer
   x = 309,028.99