Finding the Third Proportional to 85,821 and 186,898

Step by Step Solution

1. Step 1: Write the proportion equation
   85,821 : 186,898 = 186,898 : x
2. Step 2: Convert to fraction form
   85,821/186,898 = 186,898/x
3. Step 3: Cross multiply
   85,821x = 186,898 × 186,898
4. Step 4: Simplify right side
   85,821x = 34,930,862,404
5. Step 5: Solve for x
   x = 34,930,862,404/85,821
6. Step 6: Final answer
   x = 407,019.99