Finding the Third Proportional to 85,569 and 182,223

Step by Step Solution

1. Step 1: Write the proportion equation
   85,569 : 182,223 = 182,223 : x
2. Step 2: Convert to fraction form
   85,569/182,223 = 182,223/x
3. Step 3: Cross multiply
   85,569x = 182,223 × 182,223
4. Step 4: Simplify right side
   85,569x = 33,205,221,729
5. Step 5: Solve for x
   x = 33,205,221,729/85,569
6. Step 6: Final answer
   x = 388,052.00