Finding the Third Proportional to 85,540 and 186,608

Step by Step Solution

1. Step 1: Write the proportion equation
   85,540 : 186,608 = 186,608 : x
2. Step 2: Convert to fraction form
   85,540/186,608 = 186,608/x
3. Step 3: Cross multiply
   85,540x = 186,608 × 186,608
4. Step 4: Simplify right side
   85,540x = 34,822,545,664
5. Step 5: Solve for x
   x = 34,822,545,664/85,540
6. Step 6: Final answer
   x = 407,090.78