Finding the Third Proportional to 83,138 and 181,828

Step by Step Solution

1. Step 1: Write the proportion equation
   83,138 : 181,828 = 181,828 : x
2. Step 2: Convert to fraction form
   83,138/181,828 = 181,828/x
3. Step 3: Cross multiply
   83,138x = 181,828 × 181,828
4. Step 4: Simplify right side
   83,138x = 33,061,421,584
5. Step 5: Solve for x
   x = 33,061,421,584/83,138
6. Step 6: Final answer
   x = 397,669.20