Finding the Third Proportional to 83,820 and 182,616

Step by Step Solution

1. Step 1: Write the proportion equation
   83,820 : 182,616 = 182,616 : x
2. Step 2: Convert to fraction form
   83,820/182,616 = 182,616/x
3. Step 3: Cross multiply
   83,820x = 182,616 × 182,616
4. Step 4: Simplify right side
   83,820x = 33,348,603,456
5. Step 5: Solve for x
   x = 33,348,603,456/83,820
6. Step 6: Final answer
   x = 397,859.74