Finding the Third Proportional to 83,242.69 and 179,786.30

Step by Step Solution

1. Step 1: Write the proportion equation
   83,242.69 : 179,786.30 = 179,786.30 : x
2. Step 2: Convert to fraction form
   83,242.69/179,786.30 = 179,786.30/x
3. Step 3: Cross multiply
   83,242.69x = 179,786.30 × 179,786.30
4. Step 4: Simplify right side
   83,242.69x = 32,323,114,650.90
5. Step 5: Solve for x
   x = 32,323,114,650.90/83,242.69
6. Step 6: Final answer
   x = 388,299.75