Finding the Third Proportional to 85,204 and 181,336

Step by Step Solution

1. Step 1: Write the proportion equation
   85,204 : 181,336 = 181,336 : x
2. Step 2: Convert to fraction form
   85,204/181,336 = 181,336/x
3. Step 3: Cross multiply
   85,204x = 181,336 × 181,336
4. Step 4: Simplify right side
   85,204x = 32,882,744,896
5. Step 5: Solve for x
   x = 32,882,744,896/85,204
6. Step 6: Final answer
   x = 385,929.59