Finding the Third Proportional to 83,022.02 and 171,951.49

Step by Step Solution

1. Step 1: Write the proportion equation
   83,022.02 : 171,951.49 = 171,951.49 : x
2. Step 2: Convert to fraction form
   83,022.02/171,951.49 = 171,951.49/x
3. Step 3: Cross multiply
   83,022.02x = 171,951.49 × 171,951.49
4. Step 4: Simplify right side
   83,022.02x = 29,567,315,665.51
5. Step 5: Solve for x
   x = 29,567,315,665.51/83,022.02
6. Step 6: Final answer
   x = 356,138.22