Finding the Third Proportional to 83,324 and 181,890

Step by Step Solution

1. Step 1: Write the proportion equation
   83,324 : 181,890 = 181,890 : x
2. Step 2: Convert to fraction form
   83,324/181,890 = 181,890/x
3. Step 3: Cross multiply
   83,324x = 181,890 × 181,890
4. Step 4: Simplify right side
   83,324x = 33,083,972,100
5. Step 5: Solve for x
   x = 33,083,972,100/83,324
6. Step 6: Final answer
   x = 397,052.14