Finding the Third Proportional to 83,810 and 182,380

Step by Step Solution

1. Step 1: Write the proportion equation
   83,810 : 182,380 = 182,380 : x
2. Step 2: Convert to fraction form
   83,810/182,380 = 182,380/x
3. Step 3: Cross multiply
   83,810x = 182,380 × 182,380
4. Step 4: Simplify right side
   83,810x = 33,262,464,400
5. Step 5: Solve for x
   x = 33,262,464,400/83,810
6. Step 6: Final answer
   x = 396,879.42