Finding the Third Proportional to 83,556 and 182,356

Step by Step Solution

1. Step 1: Write the proportion equation
   83,556 : 182,356 = 182,356 : x
2. Step 2: Convert to fraction form
   83,556/182,356 = 182,356/x
3. Step 3: Cross multiply
   83,556x = 182,356 × 182,356
4. Step 4: Simplify right side
   83,556x = 33,253,710,736
5. Step 5: Solve for x
   x = 33,253,710,736/83,556
6. Step 6: Final answer
   x = 397,981.12