Finding the Third Proportional to 83,667 and 181,014

Step by Step Solution

1. Step 1: Write the proportion equation
   83,667 : 181,014 = 181,014 : x
2. Step 2: Convert to fraction form
   83,667/181,014 = 181,014/x
3. Step 3: Cross multiply
   83,667x = 181,014 × 181,014
4. Step 4: Simplify right side
   83,667x = 32,766,068,196
5. Step 5: Solve for x
   x = 32,766,068,196/83,667
6. Step 6: Final answer
   x = 391,624.75