Finding the Third Proportional to 86,648 and 186,189

Step by Step Solution

1. Step 1: Write the proportion equation
   86,648 : 186,189 = 186,189 : x
2. Step 2: Convert to fraction form
   86,648/186,189 = 186,189/x
3. Step 3: Cross multiply
   86,648x = 186,189 × 186,189
4. Step 4: Simplify right side
   86,648x = 34,666,343,721
5. Step 5: Solve for x
   x = 34,666,343,721/86,648
6. Step 6: Final answer
   x = 400,082.45