Finding the Third Proportional to 80,977.50 and 167,142

Step by Step Solution

1. Step 1: Write the proportion equation
   80,977.50 : 167,142 = 167,142 : x
2. Step 2: Convert to fraction form
   80,977.50/167,142 = 167,142/x
3. Step 3: Cross multiply
   80,977.50x = 167,142 × 167,142
4. Step 4: Simplify right side
   80,977.50x = 27,936,448,164
5. Step 5: Solve for x
   x = 27,936,448,164/80,977.50
6. Step 6: Final answer
   x = 344,990.25