Finding the Third Proportional to 83,827 and 182,396

Step by Step Solution

1. Step 1: Write the proportion equation
   83,827 : 182,396 = 182,396 : x
2. Step 2: Convert to fraction form
   83,827/182,396 = 182,396/x
3. Step 3: Cross multiply
   83,827x = 182,396 × 182,396
4. Step 4: Simplify right side
   83,827x = 33,268,300,816
5. Step 5: Solve for x
   x = 33,268,300,816/83,827
6. Step 6: Final answer
   x = 396,868.56