Finding the Third Proportional to 84,576 and 185,892

Step by Step Solution

1. Step 1: Write the proportion equation
   84,576 : 185,892 = 185,892 : x
2. Step 2: Convert to fraction form
   84,576/185,892 = 185,892/x
3. Step 3: Cross multiply
   84,576x = 185,892 × 185,892
4. Step 4: Simplify right side
   84,576x = 34,555,835,664
5. Step 5: Solve for x
   x = 34,555,835,664/84,576
6. Step 6: Final answer
   x = 408,577.32