Finding the Third Proportional to 65,819 and 142,145

Step by Step Solution

1. Step 1: Write the proportion equation
   65,819 : 142,145 = 142,145 : x
2. Step 2: Convert to fraction form
   65,819/142,145 = 142,145/x
3. Step 3: Cross multiply
   65,819x = 142,145 × 142,145
4. Step 4: Simplify right side
   65,819x = 20,205,201,025
5. Step 5: Solve for x
   x = 20,205,201,025/65,819
6. Step 6: Final answer
   x = 306,981.28