Finding the Third Proportional to 83,474 and 182,284

Step by Step Solution

1. Step 1: Write the proportion equation
   83,474 : 182,284 = 182,284 : x
2. Step 2: Convert to fraction form
   83,474/182,284 = 182,284/x
3. Step 3: Cross multiply
   83,474x = 182,284 × 182,284
4. Step 4: Simplify right side
   83,474x = 33,227,456,656
5. Step 5: Solve for x
   x = 33,227,456,656/83,474
6. Step 6: Final answer
   x = 398,057.56