Finding the Third Proportional to 71,682 and 141,598

Step by Step Solution

1. Step 1: Write the proportion equation
   71,682 : 141,598 = 141,598 : x
2. Step 2: Convert to fraction form
   71,682/141,598 = 141,598/x
3. Step 3: Cross multiply
   71,682x = 141,598 × 141,598
4. Step 4: Simplify right side
   71,682x = 20,049,993,604
5. Step 5: Solve for x
   x = 20,049,993,604/71,682
6. Step 6: Final answer
   x = 279,707.51