Finding the Third Proportional to 83,119 and 181,815

Step by Step Solution

1. Step 1: Write the proportion equation
   83,119 : 181,815 = 181,815 : x
2. Step 2: Convert to fraction form
   83,119/181,815 = 181,815/x
3. Step 3: Cross multiply
   83,119x = 181,815 × 181,815
4. Step 4: Simplify right side
   83,119x = 33,056,694,225
5. Step 5: Solve for x
   x = 33,056,694,225/83,119
6. Step 6: Final answer
   x = 397,703.22