Finding the Third Proportional to 65,082 and 142,098

Step by Step Solution

1. Step 1: Write the proportion equation
   65,082 : 142,098 = 142,098 : x
2. Step 2: Convert to fraction form
   65,082/142,098 = 142,098/x
3. Step 3: Cross multiply
   65,082x = 142,098 × 142,098
4. Step 4: Simplify right side
   65,082x = 20,191,841,604
5. Step 5: Solve for x
   x = 20,191,841,604/65,082
6. Step 6: Final answer
   x = 310,252.32