Finding the Third Proportional to 83,226 and 179,754

Step by Step Solution

1. Step 1: Write the proportion equation
   83,226 : 179,754 = 179,754 : x
2. Step 2: Convert to fraction form
   83,226/179,754 = 179,754/x
3. Step 3: Cross multiply
   83,226x = 179,754 × 179,754
4. Step 4: Simplify right side
   83,226x = 32,311,500,516
5. Step 5: Solve for x
   x = 32,311,500,516/83,226
6. Step 6: Final answer
   x = 388,238.06