Finding the Third Proportional to 84,036 and 179,196

Step by Step Solution

1. Step 1: Write the proportion equation
   84,036 : 179,196 = 179,196 : x
2. Step 2: Convert to fraction form
   84,036/179,196 = 179,196/x
3. Step 3: Cross multiply
   84,036x = 179,196 × 179,196
4. Step 4: Simplify right side
   84,036x = 32,111,206,416
5. Step 5: Solve for x
   x = 32,111,206,416/84,036
6. Step 6: Final answer
   x = 382,112.50