Finding the Third Proportional to 86,769 and 181,071

Step by Step Solution

1. Step 1: Write the proportion equation
   86,769 : 181,071 = 181,071 : x
2. Step 2: Convert to fraction form
   86,769/181,071 = 181,071/x
3. Step 3: Cross multiply
   86,769x = 181,071 × 181,071
4. Step 4: Simplify right side
   86,769x = 32,786,707,041
5. Step 5: Solve for x
   x = 32,786,707,041/86,769
6. Step 6: Final answer
   x = 377,861.99