Finding the Third Proportional to 83,094 and 181,227

Step by Step Solution

1. Step 1: Write the proportion equation
   83,094 : 181,227 = 181,227 : x
2. Step 2: Convert to fraction form
   83,094/181,227 = 181,227/x
3. Step 3: Cross multiply
   83,094x = 181,227 × 181,227
4. Step 4: Simplify right side
   83,094x = 32,843,225,529
5. Step 5: Solve for x
   x = 32,843,225,529/83,094
6. Step 6: Final answer
   x = 395,253.88