Finding the Third Proportional to 83,860 and 181,920

Step by Step Solution

1. Step 1: Write the proportion equation
   83,860 : 181,920 = 181,920 : x
2. Step 2: Convert to fraction form
   83,860/181,920 = 181,920/x
3. Step 3: Cross multiply
   83,860x = 181,920 × 181,920
4. Step 4: Simplify right side
   83,860x = 33,094,886,400
5. Step 5: Solve for x
   x = 33,094,886,400/83,860
6. Step 6: Final answer
   x = 394,644.48