Finding the Third Proportional to 82,002 and 173,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,002 : 173,754.50 = 173,754.50 : x
2. Step 2: Convert to fraction form
   82,002/173,754.50 = 173,754.50/x
3. Step 3: Cross multiply
   82,002x = 173,754.50 × 173,754.50
4. Step 4: Simplify right side
   82,002x = 30,190,626,270.25
5. Step 5: Solve for x
   x = 30,190,626,270.25/82,002
6. Step 6: Final answer
   x = 368,169.39