Finding the Third Proportional to 83,398 and 179,462

Step by Step Solution

1. Step 1: Write the proportion equation
   83,398 : 179,462 = 179,462 : x
2. Step 2: Convert to fraction form
   83,398/179,462 = 179,462/x
3. Step 3: Cross multiply
   83,398x = 179,462 × 179,462
4. Step 4: Simplify right side
   83,398x = 32,206,609,444
5. Step 5: Solve for x
   x = 32,206,609,444/83,398
6. Step 6: Final answer
   x = 386,179.64