Finding the Third Proportional to 85,569 and 186,054

Step by Step Solution

1. Step 1: Write the proportion equation
   85,569 : 186,054 = 186,054 : x
2. Step 2: Convert to fraction form
   85,569/186,054 = 186,054/x
3. Step 3: Cross multiply
   85,569x = 186,054 × 186,054
4. Step 4: Simplify right side
   85,569x = 34,616,090,916
5. Step 5: Solve for x
   x = 34,616,090,916/85,569
6. Step 6: Final answer
   x = 404,540.09