Finding the Third Proportional to 85,328 and 186,208

Step by Step Solution

1. Step 1: Write the proportion equation
   85,328 : 186,208 = 186,208 : x
2. Step 2: Convert to fraction form
   85,328/186,208 = 186,208/x
3. Step 3: Cross multiply
   85,328x = 186,208 × 186,208
4. Step 4: Simplify right side
   85,328x = 34,673,419,264
5. Step 5: Solve for x
   x = 34,673,419,264/85,328
6. Step 6: Final answer
   x = 406,354.53