Finding the Third Proportional to 83,180 and 182,308

Step by Step Solution

1. Step 1: Write the proportion equation
   83,180 : 182,308 = 182,308 : x
2. Step 2: Convert to fraction form
   83,180/182,308 = 182,308/x
3. Step 3: Cross multiply
   83,180x = 182,308 × 182,308
4. Step 4: Simplify right side
   83,180x = 33,236,206,864
5. Step 5: Solve for x
   x = 33,236,206,864/83,180
6. Step 6: Final answer
   x = 399,569.69