Finding the Third Proportional to 83,922 and 182,454

Step by Step Solution

1. Step 1: Write the proportion equation
   83,922 : 182,454 = 182,454 : x
2. Step 2: Convert to fraction form
   83,922/182,454 = 182,454/x
3. Step 3: Cross multiply
   83,922x = 182,454 × 182,454
4. Step 4: Simplify right side
   83,922x = 33,289,462,116
5. Step 5: Solve for x
   x = 33,289,462,116/83,922
6. Step 6: Final answer
   x = 396,671.46