Finding the Third Proportional to 83,952 and 182,484

Step by Step Solution

1. Step 1: Write the proportion equation
   83,952 : 182,484 = 182,484 : x
2. Step 2: Convert to fraction form
   83,952/182,484 = 182,484/x
3. Step 3: Cross multiply
   83,952x = 182,484 × 182,484
4. Step 4: Simplify right side
   83,952x = 33,300,410,256
5. Step 5: Solve for x
   x = 33,300,410,256/83,952
6. Step 6: Final answer
   x = 396,660.12