Finding the Third Proportional to 65,529 and 142,182

Step by Step Solution

1. Step 1: Write the proportion equation
   65,529 : 142,182 = 142,182 : x
2. Step 2: Convert to fraction form
   65,529/142,182 = 142,182/x
3. Step 3: Cross multiply
   65,529x = 142,182 × 142,182
4. Step 4: Simplify right side
   65,529x = 20,215,721,124
5. Step 5: Solve for x
   x = 20,215,721,124/65,529
6. Step 6: Final answer
   x = 308,500.38