Finding the Third Proportional to 85,868 and 186,522

Step by Step Solution

1. Step 1: Write the proportion equation
   85,868 : 186,522 = 186,522 : x
2. Step 2: Convert to fraction form
   85,868/186,522 = 186,522/x
3. Step 3: Cross multiply
   85,868x = 186,522 × 186,522
4. Step 4: Simplify right side
   85,868x = 34,790,456,484
5. Step 5: Solve for x
   x = 34,790,456,484/85,868
6. Step 6: Final answer
   x = 405,162.07