Finding the Third Proportional to 71,686 and 141,606

Step by Step Solution

1. Step 1: Write the proportion equation
   71,686 : 141,606 = 141,606 : x
2. Step 2: Convert to fraction form
   71,686/141,606 = 141,606/x
3. Step 3: Cross multiply
   71,686x = 141,606 × 141,606
4. Step 4: Simplify right side
   71,686x = 20,052,259,236
5. Step 5: Solve for x
   x = 20,052,259,236/71,686
6. Step 6: Final answer
   x = 279,723.51