Finding the Third Proportional to 86,871 and 137,666

Step by Step Solution

1. Step 1: Write the proportion equation
   86,871 : 137,666 = 137,666 : x
2. Step 2: Convert to fraction form
   86,871/137,666 = 137,666/x
3. Step 3: Cross multiply
   86,871x = 137,666 × 137,666
4. Step 4: Simplify right side
   86,871x = 18,951,927,556
5. Step 5: Solve for x
   x = 18,951,927,556/86,871
6. Step 6: Final answer
   x = 218,161.73