Finding the Third Proportional to 65,260 and 142,505

Step by Step Solution

1. Step 1: Write the proportion equation
   65,260 : 142,505 = 142,505 : x
2. Step 2: Convert to fraction form
   65,260/142,505 = 142,505/x
3. Step 3: Cross multiply
   65,260x = 142,505 × 142,505
4. Step 4: Simplify right side
   65,260x = 20,307,675,025
5. Step 5: Solve for x
   x = 20,307,675,025/65,260
6. Step 6: Final answer
   x = 311,181.05