Finding the Third Proportional to 83,443.50 and 179,995.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,443.50 : 179,995.50 = 179,995.50 : x
2. Step 2: Convert to fraction form
   83,443.50/179,995.50 = 179,995.50/x
3. Step 3: Cross multiply
   83,443.50x = 179,995.50 × 179,995.50
4. Step 4: Simplify right side
   83,443.50x = 32,398,380,020.25
5. Step 5: Solve for x
   x = 32,398,380,020.25/83,443.50
6. Step 6: Final answer
   x = 388,267.27