Finding the Third Proportional to 83,120 and 181,819

Step by Step Solution

1. Step 1: Write the proportion equation
   83,120 : 181,819 = 181,819 : x
2. Step 2: Convert to fraction form
   83,120/181,819 = 181,819/x
3. Step 3: Cross multiply
   83,120x = 181,819 × 181,819
4. Step 4: Simplify right side
   83,120x = 33,058,148,761
5. Step 5: Solve for x
   x = 33,058,148,761/83,120
6. Step 6: Final answer
   x = 397,715.94