Finding the Third Proportional to 83,143 and 181,813

Step by Step Solution

1. Step 1: Write the proportion equation
   83,143 : 181,813 = 181,813 : x
2. Step 2: Convert to fraction form
   83,143/181,813 = 181,813/x
3. Step 3: Cross multiply
   83,143x = 181,813 × 181,813
4. Step 4: Simplify right side
   83,143x = 33,055,966,969
5. Step 5: Solve for x
   x = 33,055,966,969/83,143
6. Step 6: Final answer
   x = 397,579.68