Finding the Third Proportional to 83,483 and 185,653

Step by Step Solution

1. Step 1: Write the proportion equation
   83,483 : 185,653 = 185,653 : x
2. Step 2: Convert to fraction form
   83,483/185,653 = 185,653/x
3. Step 3: Cross multiply
   83,483x = 185,653 × 185,653
4. Step 4: Simplify right side
   83,483x = 34,467,036,409
5. Step 5: Solve for x
   x = 34,467,036,409/83,483
6. Step 6: Final answer
   x = 412,862.94